Finding the Fourth Proportional to 3,854.35, 5,741.69 and 3,738.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.35 : 5,741.69 = 3,738.16 : x
2. Step 2: Convert to fraction form
   3,854.35/5,741.69 = 3,738.16/x
3. Step 3: Cross multiply
   3,854.35x = 5,741.69 × 3,738.16
4. Step 4: Simplify right side
   3,854.35x = 21,463,355.89
5. Step 5: Solve for x
   x = 21,463,355.89/3,854.35
6. Step 6: Final answer
   x = 5,568.61