Finding the Fourth Proportional to 9,909.38, 13,669.89 and 7,547.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,909.38 : 13,669.89 = 7,547.42 : x
2. Step 2: Convert to fraction form
   9,909.38/13,669.89 = 7,547.42/x
3. Step 3: Cross multiply
   9,909.38x = 13,669.89 × 7,547.42
4. Step 4: Simplify right side
   9,909.38x = 103,172,401.18
5. Step 5: Solve for x
   x = 103,172,401.18/9,909.38
6. Step 6: Final answer
   x = 10,411.59