Finding the Fourth Proportional to 1,020.33, 1,530.45 and 289.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.33 : 1,530.45 = 289.98 : x
2. Step 2: Convert to fraction form
   1,020.33/1,530.45 = 289.98/x
3. Step 3: Cross multiply
   1,020.33x = 1,530.45 × 289.98
4. Step 4: Simplify right side
   1,020.33x = 443,799.89
5. Step 5: Solve for x
   x = 443,799.89/1,020.33
6. Step 6: Final answer
   x = 434.96