Four sizes of scaled text are shown. What is the unknown scale size? Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth.

let
x--------> the unknown scale size
we know that
N 1---------> x
N 2---------> 1
N 3---------> 0.937
N 4--------->0.878
scale factor=0.937/0.878------> 1.0672
to obtain the size N 3 ----> multiply the size N 4 by 1.0672
size N 3=1.0672*0.878-----> 0.937
so
to obtain  the size N 2 ----> multiply the size N 3 by 1.0672
size N 2=1.0672*0.937------> 1

to obtain  the size N 1 ----> multiply the size N 2 by 1.0672
size N =1.0672*1------> 1.0672
hence
x=1.0672-------> x=1.067

the answer is the unknown scale size is 1.067