$10\mathrm{.}4\mathrm{.}18$ A small shopping center contains three stores that represent three balanced three$-$phase loads. The power lines to the shopping center represent a three$-$phase source with a line voltage of $13\mathrm{.}8$ kV rms $.$ The three loads are

Load $1$: $400$ kVA at $0\mathrm{.}9$ pf lagging

Load $2$: $200$ kVA at $0\mathrm{.}85$ pf leading

Load $3$: $100$ kVA at $0\mathrm{.}90$ pf lagging

Find the power line current.