Finding the Fourth Proportional to 1,460.34, 2,015.82 and 871.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.34 : 2,015.82 = 871.20 : x
2. Step 2: Convert to fraction form
   1,460.34/2,015.82 = 871.20/x
3. Step 3: Cross multiply
   1,460.34x = 2,015.82 × 871.20
4. Step 4: Simplify right side
   1,460.34x = 1,756,182.38
5. Step 5: Solve for x
   x = 1,756,182.38/1,460.34
6. Step 6: Final answer
   x = 1,202.58