Finding the Fourth Proportional to 1,414.38, 1,951.92 and 824.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.38 : 1,951.92 = 824.88 : x
2. Step 2: Convert to fraction form
   1,414.38/1,951.92 = 824.88/x
3. Step 3: Cross multiply
   1,414.38x = 1,951.92 × 824.88
4. Step 4: Simplify right side
   1,414.38x = 1,610,099.77
5. Step 5: Solve for x
   x = 1,610,099.77/1,414.38
6. Step 6: Final answer
   x = 1,138.38