Finding the Fourth Proportional to 10,282.28, 14,182.20 and 7,096.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.28 : 14,182.20 = 7,096.78 : x
2. Step 2: Convert to fraction form
   10,282.28/14,182.20 = 7,096.78/x
3. Step 3: Cross multiply
   10,282.28x = 14,182.20 × 7,096.78
4. Step 4: Simplify right side
   10,282.28x = 100,647,882.41
5. Step 5: Solve for x
   x = 100,647,882.41/10,282.28
6. Step 6: Final answer
   x = 9,788.48