Finding the Fourth Proportional to 1,461.33, 2,016.46 and 871.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.33 : 2,016.46 = 871.75 : x
2. Step 2: Convert to fraction form
   1,461.33/2,016.46 = 871.75/x
3. Step 3: Cross multiply
   1,461.33x = 2,016.46 × 871.75
4. Step 4: Simplify right side
   1,461.33x = 1,757,849.01
5. Step 5: Solve for x
   x = 1,757,849.01/1,461.33
6. Step 6: Final answer
   x = 1,202.91