Finding the Fourth Proportional to 1,414.67, 1,951.76 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.67 : 1,951.76 = 824.72 : x
2. Step 2: Convert to fraction form
   1,414.67/1,951.76 = 824.72/x
3. Step 3: Cross multiply
   1,414.67x = 1,951.76 × 824.72
4. Step 4: Simplify right side
   1,414.67x = 1,609,641.62
5. Step 5: Solve for x
   x = 1,609,641.62/1,414.67
6. Step 6: Final answer
   x = 1,137.83