Finding the Fourth Proportional to 1,020.30, 1,530.50 and 289.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.30 : 1,530.50 = 289.82 : x
2. Step 2: Convert to fraction form
   1,020.30/1,530.50 = 289.82/x
3. Step 3: Cross multiply
   1,020.30x = 1,530.50 × 289.82
4. Step 4: Simplify right side
   1,020.30x = 443,561.86
5. Step 5: Solve for x
   x = 443,561.86/1,020.30
6. Step 6: Final answer
   x = 434.74