Finding the Fourth Proportional to 2,585.86, 3,849.55 and 2,570.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.86 : 3,849.55 = 2,570.49 : x
2. Step 2: Convert to fraction form
   2,585.86/3,849.55 = 2,570.49/x
3. Step 3: Cross multiply
   2,585.86x = 3,849.55 × 2,570.49
4. Step 4: Simplify right side
   2,585.86x = 9,895,197.68
5. Step 5: Solve for x
   x = 9,895,197.68/2,585.86
6. Step 6: Final answer
   x = 3,826.66