You plan to save $$$ per year for $7$ years, with your first savings contribution in $1$ year. You and your heirs then plan to make annual withdrawals forever, with your first withdrawal expected in $8$ years. The first withdrawal is expected to be $$35,699$ and all subsequent withdrawals are expected to increase annually by $2\mathrm{.}96$ percent forever. What is $x$ if the expected return per year is $14\mathrm{.}00$ percent per year?

Input instructions: Round your answer to the nearest dollar.

$ $$