Finding the Fourth Proportional to 2,077.16, 2,865.06 and 1,413.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.16 : 2,865.06 = 1,413.74 : x
2. Step 2: Convert to fraction form
   2,077.16/2,865.06 = 1,413.74/x
3. Step 3: Cross multiply
   2,077.16x = 2,865.06 × 1,413.74
4. Step 4: Simplify right side
   2,077.16x = 4,050,449.92
5. Step 5: Solve for x
   x = 4,050,449.92/2,077.16
6. Step 6: Final answer
   x = 1,949.99