Finding the Fourth Proportional to 6,906.64, 9,531.15 and 3,762.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.64 : 9,531.15 = 3,762.83 : x
2. Step 2: Convert to fraction form
   6,906.64/9,531.15 = 3,762.83/x
3. Step 3: Cross multiply
   6,906.64x = 9,531.15 × 3,762.83
4. Step 4: Simplify right side
   6,906.64x = 35,864,097.15
5. Step 5: Solve for x
   x = 35,864,097.15/6,906.64
6. Step 6: Final answer
   x = 5,192.70