Finding the Fourth Proportional to 3,638.27, 5,017.41 and 2,894.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.27 : 5,017.41 = 2,894.69 : x
2. Step 2: Convert to fraction form
   3,638.27/5,017.41 = 2,894.69/x
3. Step 3: Cross multiply
   3,638.27x = 5,017.41 × 2,894.69
4. Step 4: Simplify right side
   3,638.27x = 14,523,846.55
5. Step 5: Solve for x
   x = 14,523,846.55/3,638.27
6. Step 6: Final answer
   x = 3,991.97