The Court may upon the application of the administrator, or in the case of partial intestacy the executor or administrator with the will annexed, as the case may be, or of any person beneficially interested, and after such previous notice to other parties and inquiry as may seem fit, order and direct the course of proceedings which shall be taken in regard to--
(a) the time and mode of sale of any real estate,
(b) the letting and management thereof until sale,
(c) the application for maintenance or advancement or otherwise of shares or income of shares of infants,
(d) the expediency and mode of effecting a partition if applied for,and generally in regard to the administration of such real estate for the greatest advantage of all persons interested.