Finding the Fourth Proportional to 1,413.98, 1,951.29 and 784.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.98 : 1,951.29 = 784.61 : x
2. Step 2: Convert to fraction form
   1,413.98/1,951.29 = 784.61/x
3. Step 3: Cross multiply
   1,413.98x = 1,951.29 × 784.61
4. Step 4: Simplify right side
   1,413.98x = 1,530,987.97
5. Step 5: Solve for x
   x = 1,530,987.97/1,413.98
6. Step 6: Final answer
   x = 1,082.75