Finding the Fourth Proportional to 1,019.24, 1,523.27 and 743.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.24 : 1,523.27 = 743.48 : x
2. Step 2: Convert to fraction form
   1,019.24/1,523.27 = 743.48/x
3. Step 3: Cross multiply
   1,019.24x = 1,523.27 × 743.48
4. Step 4: Simplify right side
   1,019.24x = 1,132,520.78
5. Step 5: Solve for x
   x = 1,132,520.78/1,019.24
6. Step 6: Final answer
   x = 1,111.14