Finding the Fourth Proportional to 1,460.70, 2,016.18 and 871.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.70 : 2,016.18 = 871.62 : x
2. Step 2: Convert to fraction form
   1,460.70/2,016.18 = 871.62/x
3. Step 3: Cross multiply
   1,460.70x = 2,016.18 × 871.62
4. Step 4: Simplify right side
   1,460.70x = 1,757,342.81
5. Step 5: Solve for x
   x = 1,757,342.81/1,460.70
6. Step 6: Final answer
   x = 1,203.08