Finding the Fourth Proportional to 6,906.72, 9,531.42 and 3,762.90

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.72 : 9,531.42 = 3,762.90 : x
2. Step 2: Convert to fraction form
   6,906.72/9,531.42 = 3,762.90/x
3. Step 3: Cross multiply
   6,906.72x = 9,531.42 × 3,762.90
4. Step 4: Simplify right side
   6,906.72x = 35,865,780.32
5. Step 5: Solve for x
   x = 35,865,780.32/6,906.72
6. Step 6: Final answer
   x = 5,192.88