Finding the Fourth Proportional to 1,414.18, 1,951.38 and 824.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.18 : 1,951.38 = 824.80 : x
2. Step 2: Convert to fraction form
   1,414.18/1,951.38 = 824.80/x
3. Step 3: Cross multiply
   1,414.18x = 1,951.38 × 824.80
4. Step 4: Simplify right side
   1,414.18x = 1,609,498.22
5. Step 5: Solve for x
   x = 1,609,498.22/1,414.18
6. Step 6: Final answer
   x = 1,138.11