In $10$ months, Kathy plans to vacation in Europe and she needs to have $13,625$ dollars in her bank account upon departure. Given that Kathy's bank account yields $3\%$ per month and that her current balance is $1,368$ dollars, she is trying to figure out how much she needs to save every month in order to achieve her goal $(10$ equal deposits at the end of each month$).$ As she never attended a finance course, she wants your advice. How much does she need to deposit at the end of every month? $($note: round your answer to the nearest cent, and do not include spaces, currency signs, plus or minus signs, or commas$)$