Finding the Fourth Proportional to 6,498.90, 8,966.70 and 4,139.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498.90 : 8,966.70 = 4,139.10 : x
2. Step 2: Convert to fraction form
   6,498.90/8,966.70 = 4,139.10/x
3. Step 3: Cross multiply
   6,498.90x = 8,966.70 × 4,139.10
4. Step 4: Simplify right side
   6,498.90x = 37,114,067.97
5. Step 5: Solve for x
   x = 37,114,067.97/6,498.90
6. Step 6: Final answer
   x = 5,710.82