Finding the Fourth Proportional to 1,460.85, 2,016.24 and 871.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.85 : 2,016.24 = 871.43 : x
2. Step 2: Convert to fraction form
   1,460.85/2,016.24 = 871.43/x
3. Step 3: Cross multiply
   1,460.85x = 2,016.24 × 871.43
4. Step 4: Simplify right side
   1,460.85x = 1,757,012.02
5. Step 5: Solve for x
   x = 1,757,012.02/1,460.85
6. Step 6: Final answer
   x = 1,202.73