Finding the Fourth Proportional to 3,682.34, 5,082.35 and 2,089.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.34 : 5,082.35 = 2,089.02 : x
2. Step 2: Convert to fraction form
   3,682.34/5,082.35 = 2,089.02/x
3. Step 3: Cross multiply
   3,682.34x = 5,082.35 × 2,089.02
4. Step 4: Simplify right side
   3,682.34x = 10,617,130.80
5. Step 5: Solve for x
   x = 10,617,130.80/3,682.34
6. Step 6: Final answer
   x = 2,883.26