Finding the Fourth Proportional to 1,020.69, 1,530.81 and 290.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.69 : 1,530.81 = 290.27 : x
2. Step 2: Convert to fraction form
   1,020.69/1,530.81 = 290.27/x
3. Step 3: Cross multiply
   1,020.69x = 1,530.81 × 290.27
4. Step 4: Simplify right side
   1,020.69x = 444,340.56
5. Step 5: Solve for x
   x = 444,340.56/1,020.69
6. Step 6: Final answer
   x = 435.33