Finding the Fourth Proportional to 1,413.93, 1,951.06 and 784.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.93 : 1,951.06 = 784.28 : x
2. Step 2: Convert to fraction form
   1,413.93/1,951.06 = 784.28/x
3. Step 3: Cross multiply
   1,413.93x = 1,951.06 × 784.28
4. Step 4: Simplify right side
   1,413.93x = 1,530,183.93
5. Step 5: Solve for x
   x = 1,530,183.93/1,413.93
6. Step 6: Final answer
   x = 1,082.22