Finding the Fourth Proportional to 17,777.84, 24,535.31 and 10,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,777.84 : 24,535.31 = 10,224.50 : x
2. Step 2: Convert to fraction form
   17,777.84/24,535.31 = 10,224.50/x
3. Step 3: Cross multiply
   17,777.84x = 24,535.31 × 10,224.50
4. Step 4: Simplify right side
   17,777.84x = 250,861,103.30
5. Step 5: Solve for x
   x = 250,861,103.30/17,777.84
6. Step 6: Final answer
   x = 14,110.89