Finding the Fourth Proportional to 8,002.16, 12,002.88 and 5,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002.16 : 12,002.88 = 5,665.50 : x
2. Step 2: Convert to fraction form
   8,002.16/12,002.88 = 5,665.50/x
3. Step 3: Cross multiply
   8,002.16x = 12,002.88 × 5,665.50
4. Step 4: Simplify right side
   8,002.16x = 68,002,316.64
5. Step 5: Solve for x
   x = 68,002,316.64/8,002.16
6. Step 6: Final answer
   x = 8,498.00