Answer
$m_{KCl}$ = 2.757 g
Work Step by Step
The mass of the products and the mass of the reactants are equal. This is stated in the Law of Conservation of Mass.
So $m_{reactants} = m_{products}$
$m_{K} + m_{Cl_{2}} = m_{KCl}$
$ m_{K}$ = 1.446 g
$m_{Cl_{2}}$ = 8.178 - 6.867 = 1.311 g
1.446 + 1.311 = $m_{KCl}$
$m_{KCl}$ = 2.757 g
Rounding to four significant figures gives $m_{KCl}$ = 2.757 g