Finding the Fourth Proportional to 1,413.92, 1,951.06 and 784.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.92 : 1,951.06 = 784.35 : x
2. Step 2: Convert to fraction form
   1,413.92/1,951.06 = 784.35/x
3. Step 3: Cross multiply
   1,413.92x = 1,951.06 × 784.35
4. Step 4: Simplify right side
   1,413.92x = 1,530,313.91
5. Step 5: Solve for x
   x = 1,530,313.91/1,413.92
6. Step 6: Final answer
   x = 1,082.32