A company that manufactures purgable hydrogen sulfide monitors will

make deposits such that each one is $5\mathrm{.}00\%$ larger than the preceding one.

How large must the first deposit at the end of year $1$ be if the deposits

extend through year $10$ and the ${5\mathrm{.}00}^{th}$ deposit is $$4,250?$ Use an interest

rate of $8\mathrm{.}00\%$ per year. $($Round the final answer to three decimal places.$)$

The first deposit at the end of year $1$ must be $