Finding the Fourth Proportional to 10,822.28, 14,934.78 and 5,854.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.28 : 14,934.78 = 5,854.28 : x
2. Step 2: Convert to fraction form
   10,822.28/14,934.78 = 5,854.28/x
3. Step 3: Cross multiply
   10,822.28x = 14,934.78 × 5,854.28
4. Step 4: Simplify right side
   10,822.28x = 87,432,383.86
5. Step 5: Solve for x
   x = 87,432,383.86/10,822.28
6. Step 6: Final answer
   x = 8,078.92