Finding the Fourth Proportional to 3,581.82, 4,942.82 and 2,089.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,581.82 : 4,942.82 = 2,089.80 : x
2. Step 2: Convert to fraction form
   3,581.82/4,942.82 = 2,089.80/x
3. Step 3: Cross multiply
   3,581.82x = 4,942.82 × 2,089.80
4. Step 4: Simplify right side
   3,581.82x = 10,329,510.46
5. Step 5: Solve for x
   x = 10,329,510.46/3,581.82
6. Step 6: Final answer
   x = 2,883.87