Finding the Fourth Proportional to 9,101.97, 12,547.17 and 5,562.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.97 : 12,547.17 = 5,562.81 : x
2. Step 2: Convert to fraction form
   9,101.97/12,547.17 = 5,562.81/x
3. Step 3: Cross multiply
   9,101.97x = 12,547.17 × 5,562.81
4. Step 4: Simplify right side
   9,101.97x = 69,797,522.75
5. Step 5: Solve for x
   x = 69,797,522.75/9,101.97
6. Step 6: Final answer
   x = 7,668.40