Finding the Fourth Proportional to 17,780.09, 24,538.41 and 10,226.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,780.09 : 24,538.41 = 10,226.75 : x
2. Step 2: Convert to fraction form
   17,780.09/24,538.41 = 10,226.75/x
3. Step 3: Cross multiply
   17,780.09x = 24,538.41 × 10,226.75
4. Step 4: Simplify right side
   17,780.09x = 250,948,061.78
5. Step 5: Solve for x
   x = 250,948,061.78/17,780.09
6. Step 6: Final answer
   x = 14,114.00