Finding the Fourth Proportional to 1,414.41, 1,951.23 and 824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.41 : 1,951.23 = 824.58 : x
2. Step 2: Convert to fraction form
   1,414.41/1,951.23 = 824.58/x
3. Step 3: Cross multiply
   1,414.41x = 1,951.23 × 824.58
4. Step 4: Simplify right side
   1,414.41x = 1,608,945.23
5. Step 5: Solve for x
   x = 1,608,945.23/1,414.41
6. Step 6: Final answer
   x = 1,137.54