$\text{Y}$ is in the East of $\text{X}$, which is in the East of $\text{P}$. $\text{Z}$ is in the North-West of $\text{Y}$. In which direction of $\text{Z}$ is $\text{P}$?

Let's map the locations on a 2D coordinate plane:
1. "$\text{X}$ is in the East of $\text{P}$ " and "$\text{Y}$ is in the East of $\text{X}$ " puts them on a straight horizontal line from left to right: $\text{P}\to \text{X}\to \text{Y}$.
2. "$\text{Z}$ is in the North-West of $\text{Y}$ ", meaning $\text{Z}$ is located upwards (North) and to the left (West) relative to $\text{Y}$.
3. Since $\text{P}$ lies far to the West of $\text{Y}$ (beyond $\text{X}$), looking from $\text{Z}$ 's position, $\text{P}$ will be situated downwards and to the left.

Therefore, $\text{P}$ is in the South-West direction relative to $\text{Z}$.