Finding the Fourth Proportional to 1,413.94, 1,951.23 and 784.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.94 : 1,951.23 = 784.47 : x
2. Step 2: Convert to fraction form
   1,413.94/1,951.23 = 784.47/x
3. Step 3: Cross multiply
   1,413.94x = 1,951.23 × 784.47
4. Step 4: Simplify right side
   1,413.94x = 1,530,677.48
5. Step 5: Solve for x
   x = 1,530,677.48/1,413.94
6. Step 6: Final answer
   x = 1,082.56