Finding the Fourth Proportional to 1,460.69, 2,015.75 and 871.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.69 : 2,015.75 = 871.57 : x
2. Step 2: Convert to fraction form
   1,460.69/2,015.75 = 871.57/x
3. Step 3: Cross multiply
   1,460.69x = 2,015.75 × 871.57
4. Step 4: Simplify right side
   1,460.69x = 1,756,857.15
5. Step 5: Solve for x
   x = 1,756,857.15/1,460.69
6. Step 6: Final answer
   x = 1,202.76