Finding the Fourth Proportional to 1,020.56, 1,414.81 and 965.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.56 : 1,414.81 = 965.12 : x
2. Step 2: Convert to fraction form
   1,020.56/1,414.81 = 965.12/x
3. Step 3: Cross multiply
   1,020.56x = 1,414.81 × 965.12
4. Step 4: Simplify right side
   1,020.56x = 1,365,456.60
5. Step 5: Solve for x
   x = 1,365,456.60/1,020.56
6. Step 6: Final answer
   x = 1,337.95