Finding the Fourth Proportional to 6,641.50, 9,165.27 and 3,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,641.50 : 9,165.27 = 3,697.50 : x
2. Step 2: Convert to fraction form
   6,641.50/9,165.27 = 3,697.50/x
3. Step 3: Cross multiply
   6,641.50x = 9,165.27 × 3,697.50
4. Step 4: Simplify right side
   6,641.50x = 33,888,585.83
5. Step 5: Solve for x
   x = 33,888,585.83/6,641.50
6. Step 6: Final answer
   x = 5,102.55