Finding the Fourth Proportional to 9,102.65, 12,564.04 and 5,568.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,102.65 : 12,564.04 = 5,568.83 : x
2. Step 2: Convert to fraction form
   9,102.65/12,564.04 = 5,568.83/x
3. Step 3: Cross multiply
   9,102.65x = 12,564.04 × 5,568.83
4. Step 4: Simplify right side
   9,102.65x = 69,967,002.87
5. Step 5: Solve for x
   x = 69,967,002.87/9,102.65
6. Step 6: Final answer
   x = 7,686.44