Finding the Fourth Proportional to 1,414.42, 1,951.79 and 824.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.42 : 1,951.79 = 824.90 : x
2. Step 2: Convert to fraction form
   1,414.42/1,951.79 = 824.90/x
3. Step 3: Cross multiply
   1,414.42x = 1,951.79 × 824.90
4. Step 4: Simplify right side
   1,414.42x = 1,610,031.57
5. Step 5: Solve for x
   x = 1,610,031.57/1,414.42
6. Step 6: Final answer
   x = 1,138.30