Leon Bowie is trying to determine the amount to set aside so that he will have enough money on hand in $5$ years to overhaul the engine

on his vintage used car. While there is some uncertainty about the cost of engine overhauls in $5$ years, by conducting some research

online, Leon has developed the following estimates.

Click here to view factor tables.

How much should Leon Bowie deposit today in an account earning $9\%,$ compounded annually, so that he will have enough money on

hand in $5$ years to pay for the overhaul? $($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.$

$458,581.)$

Deposit amount $