Alan Bowie is trying to determine the amount to set aside so that he will have enough money on hand in $4$ years to overhaul the engine

on his vintage used car. While there is some uncertainty about the cost of engine overhauls in $4$ years, by conducting some research

online, Alan has developed the following estimates.

Click here to view factor tables.

How much should Alan Bowie deposit today in an account earning $8\%,$ compounded annually, so that he will have enough money on

hand in $4$ years to pay for the overhaul? $($Round factor values to $5$ decimal places, eg$.1\mathrm{.}251\mathrm{.}24$ and final answer to $0$ decimal places, eg$.$

$458,581.)$