Finding the Fourth Proportional to 17,810.10, 24,577.49 and 10,256.27

Step by Step Solution

1. Step 1: Write the proportion equation
   17,810.10 : 24,577.49 = 10,256.27 : x
2. Step 2: Convert to fraction form
   17,810.10/24,577.49 = 10,256.27/x
3. Step 3: Cross multiply
   17,810.10x = 24,577.49 × 10,256.27
4. Step 4: Simplify right side
   17,810.10x = 252,073,276.12
5. Step 5: Solve for x
   x = 252,073,276.12/17,810.10
6. Step 6: Final answer
   x = 14,153.39