Finding the Fourth Proportional to 1,016.24, 1,522.72 and 772.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.24 : 1,522.72 = 772.48 : x
2. Step 2: Convert to fraction form
   1,016.24/1,522.72 = 772.48/x
3. Step 3: Cross multiply
   1,016.24x = 1,522.72 × 772.48
4. Step 4: Simplify right side
   1,016.24x = 1,176,270.75
5. Step 5: Solve for x
   x = 1,176,270.75/1,016.24
6. Step 6: Final answer
   x = 1,157.47