Finding the Fourth Proportional to 2,665.12, 3,997.69 and 1,022.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.12 : 3,997.69 = 1,022.17 : x
2. Step 2: Convert to fraction form
   2,665.12/3,997.69 = 1,022.17/x
3. Step 3: Cross multiply
   2,665.12x = 3,997.69 × 1,022.17
4. Step 4: Simplify right side
   2,665.12x = 4,086,316.23
5. Step 5: Solve for x
   x = 4,086,316.23/2,665.12
6. Step 6: Final answer
   x = 1,533.26