Finding the Fourth Proportional to 1,020.02, 1,407.72 and 571.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.02 : 1,407.72 = 571.89 : x
2. Step 2: Convert to fraction form
   1,020.02/1,407.72 = 571.89/x
3. Step 3: Cross multiply
   1,020.02x = 1,407.72 × 571.89
4. Step 4: Simplify right side
   1,020.02x = 805,052.52
5. Step 5: Solve for x
   x = 805,052.52/1,020.02
6. Step 6: Final answer
   x = 789.25