You are trying to calculate how much money you should have at retirement. On your $55$th birthday you will retire and immediately make your first withdrawal of $$4,615\mathrm{.}38.$ You plan to make $26$ such withdrawals each year. You plan to continue withdrawing at that level and frequency until you are $90$ years old. $($Assume beginning of period withdrawals with the first withdrawal on your retirement date and no withdrawal on your final birthday.$)$ During retirement, your savings will earn only $3\mathrm{.}5\%$ per annum. How much do you have to have saved at retirement to fund these planned withdrawals?

$($Calculate to two decimal places.$)$