Finding the Fourth Proportional to 1,020.69, 1,408.35 and 627.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.69 : 1,408.35 = 627.94 : x
2. Step 2: Convert to fraction form
   1,020.69/1,408.35 = 627.94/x
3. Step 3: Cross multiply
   1,020.69x = 1,408.35 × 627.94
4. Step 4: Simplify right side
   1,020.69x = 884,359.30
5. Step 5: Solve for x
   x = 884,359.30/1,020.69
6. Step 6: Final answer
   x = 866.43