Finding the Fourth Proportional to 2,569.16, 3,855.90 and 1,337

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.16 : 3,855.90 = 1,337 : x
2. Step 2: Convert to fraction form
   2,569.16/3,855.90 = 1,337/x
3. Step 3: Cross multiply
   2,569.16x = 3,855.90 × 1,337
4. Step 4: Simplify right side
   2,569.16x = 5,155,338.30
5. Step 5: Solve for x
   x = 5,155,338.30/2,569.16
6. Step 6: Final answer
   x = 2,006.62