You are trying to decide how much money to put away to cover future expenses. You currently have $1,855$

dollars in your savings account. You expect the following cash flows at the end of the relevant years: an

expense of $3,057$ dollars three years from now, an expense of $5,312$ dollars seven years from now, and both

an inflow of $2,990$ dollars and outflow of $6,786$ dollars $8$ years from now. How much money do you need to

deposit today in order to honor these future financial obligations if your savings account yields $4\%$ per year?

Only a single deposit today is allowed; no other option available. $($note: round your answer to the nearest

cent, and do not include spaces, currency signs, plus or minus signs, or commas$)$