Finding the Fourth Proportional to 17,635.74, 24,337.25 and 9,678.10

Step by Step Solution

1. Step 1: Write the proportion equation
   17,635.74 : 24,337.25 = 9,678.10 : x
2. Step 2: Convert to fraction form
   17,635.74/24,337.25 = 9,678.10/x
3. Step 3: Cross multiply
   17,635.74x = 24,337.25 × 9,678.10
4. Step 4: Simplify right side
   17,635.74x = 235,538,339.23
5. Step 5: Solve for x
   x = 235,538,339.23/17,635.74
6. Step 6: Final answer
   x = 13,355.74