Sidney borrows $$12,000\mathrm{.}00.$ The loan is governed by compound interest and the annual

effective rate of discount is $6\%.$ Sidney repays

$$3,700\mathrm{.}00$ at the end of one year, X at the

end of two years, and $$3,800\mathrm{.}00$ at the end

of three years in order to exactly pay off the

loan. Find X$.$

Round your answer to the nearest cent.

Answer in units of dollars. Your answer

must be within $+/-0\mathrm{.}0\%$