Finding the Fourth Proportional to 1,414.14, 1,951.38 and 824.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.14 : 1,951.38 = 824.55 : x
2. Step 2: Convert to fraction form
   1,414.14/1,951.38 = 824.55/x
3. Step 3: Cross multiply
   1,414.14x = 1,951.38 × 824.55
4. Step 4: Simplify right side
   1,414.14x = 1,609,010.38
5. Step 5: Solve for x
   x = 1,609,010.38/1,414.14
6. Step 6: Final answer
   x = 1,137.80