Finding the Fourth Proportional to 9,100.62, 12,553.62 and 5,742.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.62 : 12,553.62 = 5,742.24 : x
2. Step 2: Convert to fraction form
   9,100.62/12,553.62 = 5,742.24/x
3. Step 3: Cross multiply
   9,100.62x = 12,553.62 × 5,742.24
4. Step 4: Simplify right side
   9,100.62x = 72,085,898.91
5. Step 5: Solve for x
   x = 72,085,898.91/9,100.62
6. Step 6: Final answer
   x = 7,920.99