Finding the Fourth Proportional to 6,641.69, 9,165.59 and 3,657.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,641.69 : 9,165.59 = 3,657.61 : x
2. Step 2: Convert to fraction form
   6,641.69/9,165.59 = 3,657.61/x
3. Step 3: Cross multiply
   6,641.69x = 9,165.59 × 3,657.61
4. Step 4: Simplify right side
   6,641.69x = 33,524,185.70
5. Step 5: Solve for x
   x = 33,524,185.70/6,641.69
6. Step 6: Final answer
   x = 5,047.54