Finding the Fourth Proportional to 1,414.08, 1,951.29 and 824.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.08 : 1,951.29 = 824.54 : x
2. Step 2: Convert to fraction form
   1,414.08/1,951.29 = 824.54/x
3. Step 3: Cross multiply
   1,414.08x = 1,951.29 × 824.54
4. Step 4: Simplify right side
   1,414.08x = 1,608,906.90
5. Step 5: Solve for x
   x = 1,608,906.90/1,414.08
6. Step 6: Final answer
   x = 1,137.78