Finding the Fourth Proportional to 7,934.24, 10,869.76 and 7,638.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,934.24 : 10,869.76 = 7,638.80 : x
2. Step 2: Convert to fraction form
   7,934.24/10,869.76 = 7,638.80/x
3. Step 3: Cross multiply
   7,934.24x = 10,869.76 × 7,638.80
4. Step 4: Simplify right side
   7,934.24x = 83,031,922.69
5. Step 5: Solve for x
   x = 83,031,922.69/7,934.24
6. Step 6: Final answer
   x = 10,465.01