Assume that a financial asset gives its owner the following cash flows which are invested using the compound interest method: year zero, $16,856$ dollars outflow; year one, $46,359$ dollars inflow; year two, $18,646$ dollars inflow; year three, $42,731$ dollars inflow; year four: $15,600$ dollars inflow. Given that the current yield required for similar financial assets is $4\%$ per year, compute the value of this asset at time $3$ taking into account past and future cash flows. $($note: round your answer to the nearest cent and do not include spaces, currency signs, or commas$)$