Finding the Fourth Proportional to 3,675.98, 5,071.60 and 2,082.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,675.98 : 5,071.60 = 2,082.41 : x
2. Step 2: Convert to fraction form
   3,675.98/5,071.60 = 2,082.41/x
3. Step 3: Cross multiply
   3,675.98x = 5,071.60 × 2,082.41
4. Step 4: Simplify right side
   3,675.98x = 10,561,150.56
5. Step 5: Solve for x
   x = 10,561,150.56/3,675.98
6. Step 6: Final answer
   x = 2,873.02