$"Mole fraction of component"$ $=$ $"Moles of component"/"Moles of all components"$
$"Moles of KCl"=(1.52*g)/(74.55*g*mol^-1)$ $=$ $0.0204*mol$
$"Moles of NaCl"=(0.564*g)/(58.44*g*mol^-1)$ $=$ $9.65xx10^-3*mol$
$"Moles of LiCl"=(0.857*g)/(42.39*g*mol^-1)$ $=$ $0.0202*mol$
$"Mole fraction of KCl"=(0.0204*mol)/((0.0202+0.00965+0.0204)*mol)$
$=$ $0.402$
Just as a check, the sum of fractions of all the components should give unity.
$"Mole fraction of NaCl"=(9.65xx10^-3*mol)/((0.0202+0.00965+0.0204)*mol)$
$=$ $0.192$
$"Mole fraction of LiCl"=(0.0202*mol)/((0.0202+0.00965+0.0204)*mol)$
$=$ $0.402$
The sum of the mole fractions do give unity as required.