Finding the Fourth Proportional to 7,086.09, 9,778.82 and 3,942.28

Step by Step Solution

1. Step 1: Write the proportion equation
   7,086.09 : 9,778.82 = 3,942.28 : x
2. Step 2: Convert to fraction form
   7,086.09/9,778.82 = 3,942.28/x
3. Step 3: Cross multiply
   7,086.09x = 9,778.82 × 3,942.28
4. Step 4: Simplify right side
   7,086.09x = 38,550,839.02
5. Step 5: Solve for x
   x = 38,550,839.02/7,086.09
6. Step 6: Final answer
   x = 5,440.35