Finding the Fourth Proportional to 1,461.06, 2,016.07 and 871.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.06 : 2,016.07 = 871.47 : x
2. Step 2: Convert to fraction form
   1,461.06/2,016.07 = 871.47/x
3. Step 3: Cross multiply
   1,461.06x = 2,016.07 × 871.47
4. Step 4: Simplify right side
   1,461.06x = 1,756,944.52
5. Step 5: Solve for x
   x = 1,756,944.52/1,461.06
6. Step 6: Final answer
   x = 1,202.51