Finding the Fourth Proportional to 6,498.04, 8,966.60 and 3,664.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498.04 : 8,966.60 = 3,664.78 : x
2. Step 2: Convert to fraction form
   6,498.04/8,966.60 = 3,664.78/x
3. Step 3: Cross multiply
   6,498.04x = 8,966.60 × 3,664.78
4. Step 4: Simplify right side
   6,498.04x = 32,860,616.35
5. Step 5: Solve for x
   x = 32,860,616.35/6,498.04
6. Step 6: Final answer
   x = 5,057.00