Finding the Fourth Proportional to 6,909.92, 9,535.88 and 3,766.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,909.92 : 9,535.88 = 3,766.31 : x
2. Step 2: Convert to fraction form
   6,909.92/9,535.88 = 3,766.31/x
3. Step 3: Cross multiply
   6,909.92x = 9,535.88 × 3,766.31
4. Step 4: Simplify right side
   6,909.92x = 35,915,061.37
5. Step 5: Solve for x
   x = 35,915,061.37/6,909.92
6. Step 6: Final answer
   x = 5,197.61