Finding the Fourth Proportional to 6,839.28, 10,260.78 and 2,942.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839.28 : 10,260.78 = 2,942.82 : x
2. Step 2: Convert to fraction form
   6,839.28/10,260.78 = 2,942.82/x
3. Step 3: Cross multiply
   6,839.28x = 10,260.78 × 2,942.82
4. Step 4: Simplify right side
   6,839.28x = 30,195,628.60
5. Step 5: Solve for x
   x = 30,195,628.60/6,839.28
6. Step 6: Final answer
   x = 4,415.03