Finding the Fourth Proportional to 3,538.11, 4,874.83 and 2,638.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.11 : 4,874.83 = 2,638.02 : x
2. Step 2: Convert to fraction form
   3,538.11/4,874.83 = 2,638.02/x
3. Step 3: Cross multiply
   3,538.11x = 4,874.83 × 2,638.02
4. Step 4: Simplify right side
   3,538.11x = 12,859,910.72
5. Step 5: Solve for x
   x = 12,859,910.72/3,538.11
6. Step 6: Final answer
   x = 3,634.68