Finding the Fourth Proportional to 6,906.65, 9,531.29 and 3,922.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.65 : 9,531.29 = 3,922.56 : x
2. Step 2: Convert to fraction form
   6,906.65/9,531.29 = 3,922.56/x
3. Step 3: Cross multiply
   6,906.65x = 9,531.29 × 3,922.56
4. Step 4: Simplify right side
   6,906.65x = 37,387,066.71
5. Step 5: Solve for x
   x = 37,387,066.71/6,906.65
6. Step 6: Final answer
   x = 5,413.20