Finding the Fourth Proportional to 6,498.83, 8,966.16 and 3,665.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498.83 : 8,966.16 = 3,665.86 : x
2. Step 2: Convert to fraction form
   6,498.83/8,966.16 = 3,665.86/x
3. Step 3: Cross multiply
   6,498.83x = 8,966.16 × 3,665.86
4. Step 4: Simplify right side
   6,498.83x = 32,868,664.88
5. Step 5: Solve for x
   x = 32,868,664.88/6,498.83
6. Step 6: Final answer
   x = 5,057.63