Finding the Fourth Proportional to 17,634.78, 24,335.98 and 9,677.02

Step by Step Solution

1. Step 1: Write the proportion equation
   17,634.78 : 24,335.98 = 9,677.02 : x
2. Step 2: Convert to fraction form
   17,634.78/24,335.98 = 9,677.02/x
3. Step 3: Cross multiply
   17,634.78x = 24,335.98 × 9,677.02
4. Step 4: Simplify right side
   17,634.78x = 235,499,765.18
5. Step 5: Solve for x
   x = 235,499,765.18/17,634.78
6. Step 6: Final answer
   x = 13,354.28