Is the damage of the attack that triggers Press the Attack also amplified?
Solution 1:
As of patch 7.24 all bonuses apply on and after the 4th hit
So I just tested this in the practice tool and the 12% bonus damage are applied on the 3rd hit for both the initial attack and the bonus effect.
The 12% damage taken increase will be applied before the damage.
For testing I used Siphoning strike (about 1.4k stacks) and Sheen on Nasus and I've also tested Kayle's E. Other attacks and effects should behave the same way.
Solution 2:
An update to Jutschge's answer:
Since patch 7.24, Press the Attack no longer applies the damage amplification to the 3rd hit, but rather after the 3rd hit.