Finding the Fourth Proportional to 2,077.38, 2,865.28 and 1,413.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.38 : 2,865.28 = 1,413.05 : x
2. Step 2: Convert to fraction form
   2,077.38/2,865.28 = 1,413.05/x
3. Step 3: Cross multiply
   2,077.38x = 2,865.28 × 1,413.05
4. Step 4: Simplify right side
   2,077.38x = 4,048,783.90
5. Step 5: Solve for x
   x = 4,048,783.90/2,077.38
6. Step 6: Final answer
   x = 1,948.99