Finding the Fourth Proportional to 1,413.15, 1,949.63 and 792.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.15 : 1,949.63 = 792.15 : x
2. Step 2: Convert to fraction form
   1,413.15/1,949.63 = 792.15/x
3. Step 3: Cross multiply
   1,413.15x = 1,949.63 × 792.15
4. Step 4: Simplify right side
   1,413.15x = 1,544,399.40
5. Step 5: Solve for x
   x = 1,544,399.40/1,413.15
6. Step 6: Final answer
   x = 1,092.88