Finding the Fourth Proportional to 6,906.61, 9,531.17 and 3,762.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.61 : 9,531.17 = 3,762.80 : x
2. Step 2: Convert to fraction form
   6,906.61/9,531.17 = 3,762.80/x
3. Step 3: Cross multiply
   6,906.61x = 9,531.17 × 3,762.80
4. Step 4: Simplify right side
   6,906.61x = 35,863,869.86
5. Step 5: Solve for x
   x = 35,863,869.86/6,906.61
6. Step 6: Final answer
   x = 5,192.69