Finding the Fourth Proportional to 1,414.31, 1,951.76 and 824.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.31 : 1,951.76 = 824.85 : x
2. Step 2: Convert to fraction form
   1,414.31/1,951.76 = 824.85/x
3. Step 3: Cross multiply
   1,414.31x = 1,951.76 × 824.85
4. Step 4: Simplify right side
   1,414.31x = 1,609,905.11
5. Step 5: Solve for x
   x = 1,609,905.11/1,414.31
6. Step 6: Final answer
   x = 1,138.30