Finding the Fourth Proportional to 1,414.80, 1,951.98 and 824.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.80 : 1,951.98 = 824.94 : x
2. Step 2: Convert to fraction form
   1,414.80/1,951.98 = 824.94/x
3. Step 3: Cross multiply
   1,414.80x = 1,951.98 × 824.94
4. Step 4: Simplify right side
   1,414.80x = 1,610,266.38
5. Step 5: Solve for x
   x = 1,610,266.38/1,414.80
6. Step 6: Final answer
   x = 1,138.16