Finding the Fourth Proportional to 9,106.40, 12,567.30 and 5,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.40 : 12,567.30 = 5,568.50 : x
2. Step 2: Convert to fraction form
   9,106.40/12,567.30 = 5,568.50/x
3. Step 3: Cross multiply
   9,106.40x = 12,567.30 × 5,568.50
4. Step 4: Simplify right side
   9,106.40x = 69,981,010.05
5. Step 5: Solve for x
   x = 69,981,010.05/9,106.40
6. Step 6: Final answer
   x = 7,684.82