Finding the Fourth Proportional to 1,414.27, 1,951.07 and 824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.27 : 1,951.07 = 824.50 : x
2. Step 2: Convert to fraction form
   1,414.27/1,951.07 = 824.50/x
3. Step 3: Cross multiply
   1,414.27x = 1,951.07 × 824.50
4. Step 4: Simplify right side
   1,414.27x = 1,608,657.22
5. Step 5: Solve for x
   x = 1,608,657.22/1,414.27
6. Step 6: Final answer
   x = 1,137.45