Finding the Fourth Proportional to 2,588.38, 3,884.16 and 1,028.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.38 : 3,884.16 = 1,028.12 : x
2. Step 2: Convert to fraction form
   2,588.38/3,884.16 = 1,028.12/x
3. Step 3: Cross multiply
   2,588.38x = 3,884.16 × 1,028.12
4. Step 4: Simplify right side
   2,588.38x = 3,993,382.58
5. Step 5: Solve for x
   x = 3,993,382.58/2,588.38
6. Step 6: Final answer
   x = 1,542.81