Finding the Fourth Proportional to 2,089.28, 2,896.28 and 2,007.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.28 : 2,896.28 = 2,007.20 : x
2. Step 2: Convert to fraction form
   2,089.28/2,896.28 = 2,007.20/x
3. Step 3: Cross multiply
   2,089.28x = 2,896.28 × 2,007.20
4. Step 4: Simplify right side
   2,089.28x = 5,813,413.22
5. Step 5: Solve for x
   x = 5,813,413.22/2,089.28
6. Step 6: Final answer
   x = 2,782.50