Finding the Fourth Proportional to 8,597.38, 12,874.16 and 5,666.80

Step by Step Solution

1. Step 1: Write the proportion equation
   8,597.38 : 12,874.16 = 5,666.80 : x
2. Step 2: Convert to fraction form
   8,597.38/12,874.16 = 5,666.80/x
3. Step 3: Cross multiply
   8,597.38x = 12,874.16 × 5,666.80
4. Step 4: Simplify right side
   8,597.38x = 72,955,289.89
5. Step 5: Solve for x
   x = 72,955,289.89/8,597.38
6. Step 6: Final answer
   x = 8,485.76