Finding the Fourth Proportional to 6,105.42, 9,144.27 and 3,884.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.42 : 9,144.27 = 3,884.24 : x
2. Step 2: Convert to fraction form
   6,105.42/9,144.27 = 3,884.24/x
3. Step 3: Cross multiply
   6,105.42x = 9,144.27 × 3,884.24
4. Step 4: Simplify right side
   6,105.42x = 35,518,493.58
5. Step 5: Solve for x
   x = 35,518,493.58/6,105.42
6. Step 6: Final answer
   x = 5,817.53