Finding the Fourth Proportional to 3,653.64, 5,042.25 and 2,081.70

Step by Step Solution

1. Step 1: Write the proportion equation
   3,653.64 : 5,042.25 = 2,081.70 : x
2. Step 2: Convert to fraction form
   3,653.64/5,042.25 = 2,081.70/x
3. Step 3: Cross multiply
   3,653.64x = 5,042.25 × 2,081.70
4. Step 4: Simplify right side
   3,653.64x = 10,496,451.83
5. Step 5: Solve for x
   x = 10,496,451.83/3,653.64
6. Step 6: Final answer
   x = 2,872.88