Finding the Fourth Proportional to 1,020.24, 1,530.59 and 404.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.24 : 1,530.59 = 404.06 : x
2. Step 2: Convert to fraction form
   1,020.24/1,530.59 = 404.06/x
3. Step 3: Cross multiply
   1,020.24x = 1,530.59 × 404.06
4. Step 4: Simplify right side
   1,020.24x = 618,440.52
5. Step 5: Solve for x
   x = 618,440.52/1,020.24
6. Step 6: Final answer
   x = 606.17