Mary is the store owner of a franchise. In flipping through her records, she notices the following debts to the same supplier: $$4,817$ due three months ago, $$5,882$ due today, $$6,617$ due in three months, and $$5,816$ due in six months. She would like to clear all of these debts with a single payment next month. If the supplier charges $15\mathrm{.}3\%$ compounded monthly on overdue balances and provides a credit of $8\mathrm{.}7\%$ compounded monthly on early payments, calculate the amount of the payment.

For full marks your answer$($s$)$ should be rounded to the nearest cent.