$(10$ points$)$ A four year annuity has end of quarter payments. For the first year $($i$.$e$.,$ the first four payments$),$ the quarterly payment is $x.$ In each subsequent year, the quarterly payment decreases by $2\%.$ Based on a nominal interest rate of $8\%$ convertible quarterly, the present value for the annuity is $97273.047375.$ Find $x.$