Finding the Fourth Proportional to 6,498.51, 8,966.07 and 3,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498.51 : 8,966.07 = 3,665.75 : x
2. Step 2: Convert to fraction form
   6,498.51/8,966.07 = 3,665.75/x
3. Step 3: Cross multiply
   6,498.51x = 8,966.07 × 3,665.75
4. Step 4: Simplify right side
   6,498.51x = 32,867,326.27
5. Step 5: Solve for x
   x = 32,867,326.27/6,498.51
6. Step 6: Final answer
   x = 5,057.67