Finding the Fourth Proportional to 1,541.72, 2,311.14 and 856.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.72 : 2,311.14 = 856.28 : x
2. Step 2: Convert to fraction form
   1,541.72/2,311.14 = 856.28/x
3. Step 3: Cross multiply
   1,541.72x = 2,311.14 × 856.28
4. Step 4: Simplify right side
   1,541.72x = 1,978,982.96
5. Step 5: Solve for x
   x = 1,978,982.96/1,541.72
6. Step 6: Final answer
   x = 1,283.62