Finding the Fourth Proportional to 1,413.92, 1,951.43 and 824.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.92 : 1,951.43 = 824.38 : x
2. Step 2: Convert to fraction form
   1,413.92/1,951.43 = 824.38/x
3. Step 3: Cross multiply
   1,413.92x = 1,951.43 × 824.38
4. Step 4: Simplify right side
   1,413.92x = 1,608,710.86
5. Step 5: Solve for x
   x = 1,608,710.86/1,413.92
6. Step 6: Final answer
   x = 1,137.76