Finding the Fourth Proportional to 6,906.69, 9,531.27 and 3,762.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.69 : 9,531.27 = 3,762.96 : x
2. Step 2: Convert to fraction form
   6,906.69/9,531.27 = 3,762.96/x
3. Step 3: Cross multiply
   6,906.69x = 9,531.27 × 3,762.96
4. Step 4: Simplify right side
   6,906.69x = 35,865,787.76
5. Step 5: Solve for x
   x = 35,865,787.76/6,906.69
6. Step 6: Final answer
   x = 5,192.91