Answer
The object should be $~~5.23~cm~~$ from the objective.
Work Step by Step
We can find $p$:
$\frac{1}{p}+\frac{1}{i} = \frac{1}{f}$
$\frac{1}{p} = \frac{1}{f} - \frac{1}{i}$
$\frac{1}{p} = \frac{1}{4.00~cm} - \frac{1}{17.0~cm}$
$\frac{1}{p} = \frac{17.0-4.00}{68.0~cm}$
$p = \frac{68.0~cm}{13.0}$
$p = 5.23~cm$
The object should be $~~5.23~cm~~$ from the objective.