Michigan Compiled Laws, Chapter 201. Vacancies in Office § 201.15

Sec. 15. When at any time there shall be in either of the offices of county clerk or prosecuting attorney, no officer duly authorized to execute the duties thereof, the judge of the circuit court of the circuit in which the county where such vacancy exists shall be situated may appoint some suitable person to perform the duties of either of said officers for the time being; and when at any time there shall be in either of the offices of sheriff, coroner, register of deeds or county surveyor, no officer duly authorized to execute the duties thereof some suitable person may be appointed by the county clerk and prosecuting attorney of the county to perform the duties of either of said offices for the time being.