Finding the Fourth Proportional to 6,641.71, 9,165.83 and 3,657.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,641.71 : 9,165.83 = 3,657.83 : x
2. Step 2: Convert to fraction form
   6,641.71/9,165.83 = 3,657.83/x
3. Step 3: Cross multiply
   6,641.71x = 9,165.83 × 3,657.83
4. Step 4: Simplify right side
   6,641.71x = 33,526,983.83
5. Step 5: Solve for x
   x = 33,526,983.83/6,641.71
6. Step 6: Final answer
   x = 5,047.95