What Place?

It should start at tenths. So 7 is tenths, 6 is the hundredths,4 is the thousandths, then 8 is the ten thousandths

The first number after the decimal point is in the tenth place, the second in the hundredth place, the third in the thousandth place and the fourth in the ten thousandth place. Since 8 stands in the fourth place after the decimal point, the answer is $\color{#69047E}{\boxed{\text{Ten thousandth place}}}$ .

$\begin{aligned} 5 &\implies \text{Units} \\ . \\7 &\implies \text{Tenths} \\ 6 &\implies \text{Hunderdths} \\ 4 &\implies \text{Thousandths} \\ 8 &\implies \boxed{\text{Ten Thousandths}} \end{aligned}$