Finding the Fourth Proportional to 1,460.96, 2,016.14 and 871.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.96 : 2,016.14 = 871.52 : x
2. Step 2: Convert to fraction form
   1,460.96/2,016.14 = 871.52/x
3. Step 3: Cross multiply
   1,460.96x = 2,016.14 × 871.52
4. Step 4: Simplify right side
   1,460.96x = 1,757,106.33
5. Step 5: Solve for x
   x = 1,757,106.33/1,460.96
6. Step 6: Final answer
   x = 1,202.71