Finding the Fourth Proportional to 1,020.33, 1,530.69 and 326.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.33 : 1,530.69 = 326.94 : x
2. Step 2: Convert to fraction form
   1,020.33/1,530.69 = 326.94/x
3. Step 3: Cross multiply
   1,020.33x = 1,530.69 × 326.94
4. Step 4: Simplify right side
   1,020.33x = 500,443.79
5. Step 5: Solve for x
   x = 500,443.79/1,020.33
6. Step 6: Final answer
   x = 490.47