Finding the Fourth Proportional to 1,856.50, 2,561.98 and 1,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.50 : 2,561.98 = 1,028.50 : x
2. Step 2: Convert to fraction form
   1,856.50/2,561.98 = 1,028.50/x
3. Step 3: Cross multiply
   1,856.50x = 2,561.98 × 1,028.50
4. Step 4: Simplify right side
   1,856.50x = 2,634,996.43
5. Step 5: Solve for x
   x = 2,634,996.43/1,856.50
6. Step 6: Final answer
   x = 1,419.34