Finding the Fourth Proportional to 2,578.26, 3,865.27 and 1,017.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.26 : 3,865.27 = 1,017.60 : x
2. Step 2: Convert to fraction form
   2,578.26/3,865.27 = 1,017.60/x
3. Step 3: Cross multiply
   2,578.26x = 3,865.27 × 1,017.60
4. Step 4: Simplify right side
   2,578.26x = 3,933,298.75
5. Step 5: Solve for x
   x = 3,933,298.75/2,578.26
6. Step 6: Final answer
   x = 1,525.56