Finding the Fourth Proportional to 1,413.83, 1,951.07 and 784.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.83 : 1,951.07 = 784.46 : x
2. Step 2: Convert to fraction form
   1,413.83/1,951.07 = 784.46/x
3. Step 3: Cross multiply
   1,413.83x = 1,951.07 × 784.46
4. Step 4: Simplify right side
   1,413.83x = 1,530,522.69
5. Step 5: Solve for x
   x = 1,530,522.69/1,413.83
6. Step 6: Final answer
   x = 1,082.54