Finding the Fourth Proportional to 1,016.24, 1,524.65 and 862.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.24 : 1,524.65 = 862.56 : x
2. Step 2: Convert to fraction form
   1,016.24/1,524.65 = 862.56/x
3. Step 3: Cross multiply
   1,016.24x = 1,524.65 × 862.56
4. Step 4: Simplify right side
   1,016.24x = 1,315,097.79
5. Step 5: Solve for x
   x = 1,315,097.79/1,016.24
6. Step 6: Final answer
   x = 1,294.09