A true statement by inserting a symbol <,>or= between the given numbers 7.123 and 45664.

Given numbers:
${\displaystyle 7.123\text{and}\frac{456}{64}.}$
For compare this numbers, we write the fraction ${\displaystyle \frac{456}{64}}$ as decimal and compare with the decimal 7.123.
${\displaystyle 64\frac{7.125}{456.00}}$
${\displaystyle -\frac{448}{80}}$
${\displaystyle -\frac{64}{160}}$
${\displaystyle -\frac{128}{320}}$
${\displaystyle -\frac{320}{0}}$
Hence, ${\displaystyle \frac{456}{64}=7.125.}$
Now, we compare this given decimal 7.123.
Original numbers ${\displaystyle 7.123\frac{4}{64}}$
Decimals 7.123 7.125
Compare ${\displaystyle 7.123<7.125}$
Thus, ${\displaystyle 7.123<\frac{456}{64}.}$
Answer:
${\displaystyle 7.123<\frac{456}{64}}$