Finding the Fourth Proportional to 17,534.50, 24,197.61 and 10,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534.50 : 24,197.61 = 10,082.50 : x
2. Step 2: Convert to fraction form
   17,534.50/24,197.61 = 10,082.50/x
3. Step 3: Cross multiply
   17,534.50x = 24,197.61 × 10,082.50
4. Step 4: Simplify right side
   17,534.50x = 243,972,402.83
5. Step 5: Solve for x
   x = 243,972,402.83/17,534.50
6. Step 6: Final answer
   x = 13,913.85