Finding the Fourth Proportional to 1,414.54, 1,951.31 and 824.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.54 : 1,951.31 = 824.86 : x
2. Step 2: Convert to fraction form
   1,414.54/1,951.31 = 824.86/x
3. Step 3: Cross multiply
   1,414.54x = 1,951.31 × 824.86
4. Step 4: Simplify right side
   1,414.54x = 1,609,543.69
5. Step 5: Solve for x
   x = 1,609,543.69/1,414.54
6. Step 6: Final answer
   x = 1,137.86