Please no excel answers!

Derek wants to withdraw $$10,594\mathrm{.}00$ from his account $8\mathrm{.}00$ years from today and $$12,271\mathrm{.}00$ from his account $10\mathrm{.}00$ years from today. He currently has $$3,492\mathrm{.}00$ in the account. How much must he deposit each year for the next $10\mathrm{.}0$ years? Assume a $5\mathrm{.}18\%$ interest rate. His account must equal zero by year $10\mathrm{.}0$ but may be negative prior to that.