(Here is break down, per EWTN, about how miracles are investigated. Not sure where this one is at)
The remaining step before beatification is the approval of a miracle, evidence of the intercessory power of the Venerable Servant of God and thus of his or her union after death with God. Those who propose a miracle do so in the diocese where it is alledged to have occurred, not in the diocese of the Cause, unless the same. The diocese of the candidate miracle then conducts its own tribunals, scientific and theological.
The scientific commission must determine by accepted scientific criteria that there is no natural explanation for the alleged miracle. While miracles could be of any type, those almost exclusively proposed for Causes are medical. These must be well-documented, both as regards the disease and the treatment, and as regard the healing and its persistence.
While the scientific commission rules that the cure is without natural explanation, the theological commission must rule whether the cure was a miracle in the strict sense, that is, by its nature can only be attributed to God. To avoid any question of remission due to unknown natural causation, or even unrecognized therapeutic causation, theologians prefer cures of diseases judged beyond hope by medicine, and which occur more or less instantaneously. The disappearance of a malignancy from one moment to another, or the instantaneous regeneration of diseased, even destroyed, tissue excludes natural processes, all of which take time. Such cases also exclude the operation of the angelic nature. While the enemy could provoke a disease by his oppression and simulate a cure by withdrawing his action, the cure could not be instantaneous, even one day to the next. Much less can he regenerate tissue from nothing. These are, therefore, the preferred kinds of cases since they unequivocally point to a divine cause.
The theological commission must also determine whether the miracle resulted through the intercession of the Servant of God alone. If the family and friends have been praying without cease to the Servant of God exclusively, then the case is demonstrated. However, if they have been praying to the Servant of God, to the Blessed Virgin, St. Joseph and others, then the case is clouded, and probably cannot be demonstrated. Thus, the task of the theological commission is two-fold, judge whether the cure was a miracle, and judge whether this miracle is due to the intercession of the Servant of God. The decision is forwarded to the Congregation in Rome.
Congregation: First Miracle Proposed in Support of the Cause
As occured at the diocesan level, the Congregation for the Causes of the the Saints establishes both scientific and theological commissions. The affirmative vote of the theological commission is transmitted to the General Meeting of the cardinal and episcopal members, whose affirmative judgment is forwarded to the Supreme Pontiff.