Finding the Fourth Proportional to 1,413.99, 1,951.35 and 784.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.99 : 1,951.35 = 784.51 : x
2. Step 2: Convert to fraction form
   1,413.99/1,951.35 = 784.51/x
3. Step 3: Cross multiply
   1,413.99x = 1,951.35 × 784.51
4. Step 4: Simplify right side
   1,413.99x = 1,530,853.59
5. Step 5: Solve for x
   x = 1,530,853.59/1,413.99
6. Step 6: Final answer
   x = 1,082.65