Jaleel deposits $$1,000$ into Derivative Savings and Loan $5-$year "savings special." The savings special guarantees a $5\mathrm{.}25\%$ continuously compounded rate for the first two years, then will credit at a nominal annual rate of $4\mathrm{.}50\%$ compounded semi$-$annually for the next two years, and then at a nominal rate of X compounded monthly for the last year. At the end of the$5-$year period, Jaleel has $$1,289\mathrm{.}11.$ Compute X$.$