Finding the Fourth Proportional to 9,106.38, 12,564.56 and 5,568.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.38 : 12,564.56 = 5,568.30 : x
2. Step 2: Convert to fraction form
   9,106.38/12,564.56 = 5,568.30/x
3. Step 3: Cross multiply
   9,106.38x = 12,564.56 × 5,568.30
4. Step 4: Simplify right side
   9,106.38x = 69,963,239.45
5. Step 5: Solve for x
   x = 69,963,239.45/9,106.38
6. Step 6: Final answer
   x = 7,682.88