How if statement work in for loop

This code find the maximum element of a dynamic array

int i, n, *x, max;
    cout << "eneter a number: ";
    cin  >> n;
    x = new int[n];
    max = x[0];
    for (i = 0; i < n; i++)
    {
        if (x[i] > x[0])
            {
            max  = x[i];
            }
    }
    cout << max << endl;

    delete []x;

Let's assume my input be :

    n=4
   {3, 22, 15, 17}

So the output is 22

I don't understand how if select the 22 as max.

This is my understanding of how it works:

n=4
{3, 22, 15, 17}

x[0] = 3 
first loop i=0 -> x[0]>x[0] false

x[1] = 22
second  loop i=1 -> x[1]>x[0] true

x[2] = 15
third loop i=2 -> x[2]>x[0] true

x[3] = 17
forth loop i=3 -> x[3]>x[0] true

I know I'm wrong but as my assumption the 17 must be the maximun value. What am I missing here?