Finding the Fourth Proportional to 1,413.93, 1,951.17 and 784.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.93 : 1,951.17 = 784.43 : x
2. Step 2: Convert to fraction form
   1,413.93/1,951.17 = 784.43/x
3. Step 3: Cross multiply
   1,413.93x = 1,951.17 × 784.43
4. Step 4: Simplify right side
   1,413.93x = 1,530,546.53
5. Step 5: Solve for x
   x = 1,530,546.53/1,413.93
6. Step 6: Final answer
   x = 1,082.48