Finding the Fourth Proportional to 2,580.14, 3,866.52 and 1,280.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.14 : 3,866.52 = 1,280.10 : x
2. Step 2: Convert to fraction form
   2,580.14/3,866.52 = 1,280.10/x
3. Step 3: Cross multiply
   2,580.14x = 3,866.52 × 1,280.10
4. Step 4: Simplify right side
   2,580.14x = 4,949,532.25
5. Step 5: Solve for x
   x = 4,949,532.25/2,580.14
6. Step 6: Final answer
   x = 1,918.32