Finding the Fourth Proportional to 3,846.10, 5,781.30 and 3,627.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.10 : 5,781.30 = 3,627.40 : x
2. Step 2: Convert to fraction form
   3,846.10/5,781.30 = 3,627.40/x
3. Step 3: Cross multiply
   3,846.10x = 5,781.30 × 3,627.40
4. Step 4: Simplify right side
   3,846.10x = 20,971,087.62
5. Step 5: Solve for x
   x = 20,971,087.62/3,846.10
6. Step 6: Final answer
   x = 5,452.56