Finding the Fourth Proportional to 10,338.50, 14,267.24 and 5,622.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338.50 : 14,267.24 = 5,622.78 : x
2. Step 2: Convert to fraction form
   10,338.50/14,267.24 = 5,622.78/x
3. Step 3: Cross multiply
   10,338.50x = 14,267.24 × 5,622.78
4. Step 4: Simplify right side
   10,338.50x = 80,221,523.61
5. Step 5: Solve for x
   x = 80,221,523.61/10,338.50
6. Step 6: Final answer
   x = 7,759.50