Finding the Fourth Proportional to 1,022.72, 1,534.72 and 697.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.72 : 1,534.72 = 697.28 : x
2. Step 2: Convert to fraction form
   1,022.72/1,534.72 = 697.28/x
3. Step 3: Cross multiply
   1,022.72x = 1,534.72 × 697.28
4. Step 4: Simplify right side
   1,022.72x = 1,070,129.56
5. Step 5: Solve for x
   x = 1,070,129.56/1,022.72
6. Step 6: Final answer
   x = 1,046.36