**Solution:**

To find the value of x in the equation 21x = 1123, we need to isolate x on one side of the equation. Let's go through the steps to solve the equation and find the value of x.

**Step 1: Understanding the Equation**
The given equation is 21x = 1123. This equation tells us that a number, represented by x, multiplied by 21 is equal to 1123.

**Step 2: Isolating x**
To isolate x, we need to get rid of the coefficient 21. We can do this by dividing both sides of the equation by 21. This will give us:

(21x)/21 = 1123/21

Simplifying this, we have:

x = 1123/21

**Step 3: Evaluating the Value of x**
To find the value of x, we need to divide 1123 by 21. Performing this division, we get:

x = 53.38

Therefore, the value of x is approximately 53.38.

In summary, the value of x in the equation 21x = 1123 is approximately 53.38.