Finding the Fourth Proportional to 2,564.45, 3,849.41 and 2,083.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.45 : 3,849.41 = 2,083.31 : x
2. Step 2: Convert to fraction form
   2,564.45/3,849.41 = 2,083.31/x
3. Step 3: Cross multiply
   2,564.45x = 3,849.41 × 2,083.31
4. Step 4: Simplify right side
   2,564.45x = 8,019,514.35
5. Step 5: Solve for x
   x = 8,019,514.35/2,564.45
6. Step 6: Final answer
   x = 3,127.19