Adam invested $$9,000$ at the end of each quarter for $6$ years in an investment fund. If the balance in the fund at the end of $6$ years was $$245,500,$ what was the nominal interest rate compounded quarterly?

Question $8$ options:

$4\mathrm{.}99\%$

$4\mathrm{.}38\%$

$4\mathrm{.}54\%$

$4\mathrm{.}04\%$