Finding the Fourth Proportional to 1,856.25, 2,561.63 and 1,028.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.25 : 2,561.63 = 1,028.25 : x
2. Step 2: Convert to fraction form
   1,856.25/2,561.63 = 1,028.25/x
3. Step 3: Cross multiply
   1,856.25x = 2,561.63 × 1,028.25
4. Step 4: Simplify right side
   1,856.25x = 2,633,990.91
5. Step 5: Solve for x
   x = 2,633,990.91/1,856.25
6. Step 6: Final answer
   x = 1,418.99