A man turns $40$ today and wishes to provide supplemental retirement income of

$$3000$ at the beginning of each month starting on his $65$th birthday. Starting today, he makes monthly

contributions of X to a fund for $25$ years. The fund earns a nominal rate of $8\%$ compounded monthly.

Each $$1000$ will provide for $$9\mathrm{.}65$ of income at the beginning of each month starting on his $65$th

birthday until the end of his life. Calculate X