Let’s start by using the formula for the average of a set of numbers:

Average = (Sum of the numbers) / (Number of the numbers)

We can use this formula to find the sum of the runs the player scored in the 10 innings:

Sum of runs = Average x Number of innings = 32 x 10 = 320

Now let’s assume the player scores x runs in his next innings. Then his total runs for 11 innings will be:

Total runs = Sum of runs + x = 320 + x

His new average will be 4 more than his current average, so we have:

New average = Current average + 4 = 32 + 4 = 36

Using the formula for the average again, we can set up the equation:

New average = (Total runs) / (Number of innings)

Substituting the values we found above, we get:

36 = (320 + x) / 11

Solving for x, we get:

x = 396 – 320

x = 76

Therefore, the player needs to score 76 runs in his next innings to increase his average of runs by 4.