Finding the Fourth Proportional to 6,906.56, 9,532.04 and 3,922.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.56 : 9,532.04 = 3,922.67 : x
2. Step 2: Convert to fraction form
   6,906.56/9,532.04 = 3,922.67/x
3. Step 3: Cross multiply
   6,906.56x = 9,532.04 × 3,922.67
4. Step 4: Simplify right side
   6,906.56x = 37,391,047.35
5. Step 5: Solve for x
   x = 37,391,047.35/6,906.56
6. Step 6: Final answer
   x = 5,413.85