Finding the Fourth Proportional to 9,101.65, 12,562.66 and 5,567.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.65 : 12,562.66 = 5,567.83 : x
2. Step 2: Convert to fraction form
   9,101.65/12,562.66 = 5,567.83/x
3. Step 3: Cross multiply
   9,101.65x = 12,562.66 × 5,567.83
4. Step 4: Simplify right side
   9,101.65x = 69,946,755.23
5. Step 5: Solve for x
   x = 69,946,755.23/9,101.65
6. Step 6: Final answer
   x = 7,685.06