You are given the cash flows listed below at Years $3,5,$ and $6,$ but you aren$$t sure about the cash flow at Year $4.$ Assume that the appropriate interest rate for these cash flows is $12\%$ and that the value of all the cash flows in Years $3$ to $6,$ evaluated as of Year $10$ is $$1,982\mathrm{.}47.$ Determine the value of the cash flow at Year $4.$

Year Cash Flow

$3$ $$100$

$4$ $$?$

$5$ $$200$

$6$ $$425$

$$325\mathrm{.}00$

$$337\mathrm{.}50$

$$350\mathrm{.}00$

$$362$

$$375\mathrm{.}00$

Question $7$