Finding the Fourth Proportional to 2,665.75, 3,998.40 and 1,022.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.75 : 3,998.40 = 1,022.26 : x
2. Step 2: Convert to fraction form
   2,665.75/3,998.40 = 1,022.26/x
3. Step 3: Cross multiply
   2,665.75x = 3,998.40 × 1,022.26
4. Step 4: Simplify right side
   2,665.75x = 4,087,404.38
5. Step 5: Solve for x
   x = 4,087,404.38/2,665.75
6. Step 6: Final answer
   x = 1,533.30