Finding the Fourth Proportional to 9,099.97, 12,560.33 and 5,566.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,099.97 : 12,560.33 = 5,566.14 : x
2. Step 2: Convert to fraction form
   9,099.97/12,560.33 = 5,566.14/x
3. Step 3: Cross multiply
   9,099.97x = 12,560.33 × 5,566.14
4. Step 4: Simplify right side
   9,099.97x = 69,912,555.23
5. Step 5: Solve for x
   x = 69,912,555.23/9,099.97
6. Step 6: Final answer
   x = 7,682.72