Finding the Fourth Proportional to 1,414.06, 1,951.05 and 824.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.06 : 1,951.05 = 824.38 : x
2. Step 2: Convert to fraction form
   1,414.06/1,951.05 = 824.38/x
3. Step 3: Cross multiply
   1,414.06x = 1,951.05 × 824.38
4. Step 4: Simplify right side
   1,414.06x = 1,608,406.60
5. Step 5: Solve for x
   x = 1,608,406.60/1,414.06
6. Step 6: Final answer
   x = 1,137.44