Finding the Fourth Proportional to 1,028.94, 1,541.61 and 856.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.94 : 1,541.61 = 856.72 : x
2. Step 2: Convert to fraction form
   1,028.94/1,541.61 = 856.72/x
3. Step 3: Cross multiply
   1,028.94x = 1,541.61 × 856.72
4. Step 4: Simplify right side
   1,028.94x = 1,320,726.41
5. Step 5: Solve for x
   x = 1,320,726.41/1,028.94
6. Step 6: Final answer
   x = 1,283.58