Finding the Fourth Proportional to 1,460.98, 2,016.12 and 871.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.98 : 2,016.12 = 871.30 : x
2. Step 2: Convert to fraction form
   1,460.98/2,016.12 = 871.30/x
3. Step 3: Cross multiply
   1,460.98x = 2,016.12 × 871.30
4. Step 4: Simplify right side
   1,460.98x = 1,756,645.36
5. Step 5: Solve for x
   x = 1,756,645.36/1,460.98
6. Step 6: Final answer
   x = 1,202.37