Finding the Fourth Proportional to 1,413.96, 1,951.46 and 824.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.96 : 1,951.46 = 824.28 : x
2. Step 2: Convert to fraction form
   1,413.96/1,951.46 = 824.28/x
3. Step 3: Cross multiply
   1,413.96x = 1,951.46 × 824.28
4. Step 4: Simplify right side
   1,413.96x = 1,608,549.45
5. Step 5: Solve for x
   x = 1,608,549.45/1,413.96
6. Step 6: Final answer
   x = 1,137.62