John Fillmore's lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $$434,300.$ He estimates that the boat he wants will cost $$346,500$ when he retires in $5$ years.

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Assuming quarterly compounding of amounts invested at $10\%,$ how much of John Fillmore's inheritance must be invested to have enough at retirement to buy the boat? $($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.458,581.)$

Investment amount

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