Finding the Fourth Proportional to 3,653.72, 5,042.14 and 2,081.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,653.72 : 5,042.14 = 2,081.81 : x
2. Step 2: Convert to fraction form
   3,653.72/5,042.14 = 2,081.81/x
3. Step 3: Cross multiply
   3,653.72x = 5,042.14 × 2,081.81
4. Step 4: Simplify right side
   3,653.72x = 10,496,784.87
5. Step 5: Solve for x
   x = 10,496,784.87/3,653.72
6. Step 6: Final answer
   x = 2,872.90