Finding the Fourth Proportional to 1,414.24, 1,951.30 and 824.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.24 : 1,951.30 = 824.70 : x
2. Step 2: Convert to fraction form
   1,414.24/1,951.30 = 824.70/x
3. Step 3: Cross multiply
   1,414.24x = 1,951.30 × 824.70
4. Step 4: Simplify right side
   1,414.24x = 1,609,237.11
5. Step 5: Solve for x
   x = 1,609,237.11/1,414.24
6. Step 6: Final answer
   x = 1,137.88