Finding the Fourth Proportional to 1,414.05, 1,951.32 and 824.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.05 : 1,951.32 = 824.49 : x
2. Step 2: Convert to fraction form
   1,414.05/1,951.32 = 824.49/x
3. Step 3: Cross multiply
   1,414.05x = 1,951.32 × 824.49
4. Step 4: Simplify right side
   1,414.05x = 1,608,843.83
5. Step 5: Solve for x
   x = 1,608,843.83/1,414.05
6. Step 6: Final answer
   x = 1,137.76