Chris Fillmore's lifelong dream is to own his own fishing boat to use in his retirement. Chris has recently come into an inheritance of $$416,900.$ He estimates that the boat he wants will cost $$323,600$ when he retires in $6$ years.

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Assuming quarterly compounding of amounts invested at $8\%,$ how much of Chris Fillmore's inheritance must be invested to have enough at retirement to buy the boat? $($Round factor values to $5$ decimal places, eg$.1\mathrm{.}25124$ and final answers to $0$ decimal places, eg$.458,581.$

Investment amount

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