Finding the Fourth Proportional to 1,017.05, 1,522.24 and 772.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.05 : 1,522.24 = 772.23 : x
2. Step 2: Convert to fraction form
   1,017.05/1,522.24 = 772.23/x
3. Step 3: Cross multiply
   1,017.05x = 1,522.24 × 772.23
4. Step 4: Simplify right side
   1,017.05x = 1,175,517.46
5. Step 5: Solve for x
   x = 1,175,517.46/1,017.05
6. Step 6: Final answer
   x = 1,155.81