During an ice show, a $64\mathrm{.}9-$kg skater leaps into the air and is caught by an initially stationary $78\mathrm{.}4-$kg skater. The skater that was moving was doing so at $3\mathrm{.}79$m $/$ s $*1$ before the catch. How much kinetic energy was lost? $($hint: find their velocity together after the catch first$)$ Answer as a positive number of Joules within $1\%.256\mathrm{.}6$