Finding the Fourth Proportional to 3,682.98, 5,082.55 and 2,111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.98 : 5,082.55 = 2,111.06 : x
2. Step 2: Convert to fraction form
   3,682.98/5,082.55 = 2,111.06/x
3. Step 3: Cross multiply
   3,682.98x = 5,082.55 × 2,111.06
4. Step 4: Simplify right side
   3,682.98x = 10,729,575.43
5. Step 5: Solve for x
   x = 10,729,575.43/3,682.98
6. Step 6: Final answer
   x = 2,913.29