Finding the Fourth Proportional to 1,460.78, 2,016.23 and 871.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.78 : 2,016.23 = 871.68 : x
2. Step 2: Convert to fraction form
   1,460.78/2,016.23 = 871.68/x
3. Step 3: Cross multiply
   1,460.78x = 2,016.23 × 871.68
4. Step 4: Simplify right side
   1,460.78x = 1,757,503.01
5. Step 5: Solve for x
   x = 1,757,503.01/1,460.78
6. Step 6: Final answer
   x = 1,203.13