Whenever the Governor commissions to office any person, whom the Governor is or may be authorized by the Constitution or by law to commission and whose appointment is required to be confirmed by the Senate, the Secretary of State shall collect from every such person as fee for the commission which the Secretary shall receive, the proportionate part of the fee which the Secretary is by law required to demand and receive for the full term to which the appointment to the office is limited in the ratio which the time from the date of the appointment to the last day of the next session of the Senate bears to the full term to which the appointment is limited.