Finding the Fourth Proportional to 3,829.02, 5,744.20 and 2,369.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.02 : 5,744.20 = 2,369.82 : x
2. Step 2: Convert to fraction form
   3,829.02/5,744.20 = 2,369.82/x
3. Step 3: Cross multiply
   3,829.02x = 5,744.20 × 2,369.82
4. Step 4: Simplify right side
   3,829.02x = 13,612,720.04
5. Step 5: Solve for x
   x = 13,612,720.04/3,829.02
6. Step 6: Final answer
   x = 3,555.14