Derek plans to retire on his $65$th birthday. However, he plans to work

part$-$time until he turns $74\mathrm{.}00.$ During these years of part$-$time work, he

will neither make deposits to nor take withdrawals from his retirement

account. Exactly one year after the day he turns $74\mathrm{.}0$ when he fully

retires, he will begin to make annual withdrawals of $$117,452\mathrm{.}00$ from his

retirement account until he turns $90\mathrm{.}00.$ He he will make contributions to

his retirement account from his $26$th birthday to his $65$th birthday. To

Infinity

reach his goal, what must the contributions be$?$ Assume a $8\mathrm{.}00\%$

interest rate.

Answer format: Currency: Round to: $2$ decimal places.