Finding the Fourth Proportional to 1,461.27, 2,016.31 and 871.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.27 : 2,016.31 = 871.59 : x
2. Step 2: Convert to fraction form
   1,461.27/2,016.31 = 871.59/x
3. Step 3: Cross multiply
   1,461.27x = 2,016.31 × 871.59
4. Step 4: Simplify right side
   1,461.27x = 1,757,395.63
5. Step 5: Solve for x
   x = 1,757,395.63/1,461.27
6. Step 6: Final answer
   x = 1,202.65