Finding the Fourth Proportional to 3,849.86, 5,312.81 and 2,081.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.86 : 5,312.81 = 2,081.46 : x
2. Step 2: Convert to fraction form
   3,849.86/5,312.81 = 2,081.46/x
3. Step 3: Cross multiply
   3,849.86x = 5,312.81 × 2,081.46
4. Step 4: Simplify right side
   3,849.86x = 11,058,391.10
5. Step 5: Solve for x
   x = 11,058,391.10/3,849.86
6. Step 6: Final answer
   x = 2,872.42