Leon Weatherspoon, a super salesman contemplating retirement on his fifty$-$fifth birthday, decides to create a fund on

an $11\%$ basis that will enable him to withdraw $$14,170$ per year on June $30,$ beginning in $2029$ and continuing through $2032.$

To develop this fund, Leon intends to make equal contributions on June $30$ of each of the years $2025-2028.$

$($a$)$

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How much must the balance of the fund equal on June $30,2028,$ in order for Leon to satisfy his objective? $($Round factor

values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.458,581.)$

Balance of the fund equal on June $30,2028$$