Finding the Fourth Proportional to 1,414.12, 1,951.74 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.12 : 1,951.74 = 824.72 : x
2. Step 2: Convert to fraction form
   1,414.12/1,951.74 = 824.72/x
3. Step 3: Cross multiply
   1,414.12x = 1,951.74 × 824.72
4. Step 4: Simplify right side
   1,414.12x = 1,609,639.01
5. Step 5: Solve for x
   x = 1,609,639.01/1,414.12
6. Step 6: Final answer
   x = 1,138.26