Finding the Fourth Proportional to 1,020.37, 1,408.18 and 566.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.37 : 1,408.18 = 566.27 : x
2. Step 2: Convert to fraction form
   1,020.37/1,408.18 = 566.27/x
3. Step 3: Cross multiply
   1,020.37x = 1,408.18 × 566.27
4. Step 4: Simplify right side
   1,020.37x = 797,409.40
5. Step 5: Solve for x
   x = 797,409.40/1,020.37
6. Step 6: Final answer
   x = 781.49