Finding the Fourth Proportional to 17,538.28, 24,209.54 and 10,825

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.28 : 24,209.54 = 10,825 : x
2. Step 2: Convert to fraction form
   17,538.28/24,209.54 = 10,825/x
3. Step 3: Cross multiply
   17,538.28x = 24,209.54 × 10,825
4. Step 4: Simplify right side
   17,538.28x = 262,068,270.50
5. Step 5: Solve for x
   x = 262,068,270.50/17,538.28
6. Step 6: Final answer
   x = 14,942.64