Finding the Fourth Proportional to 9,105.42, 13,663.43 and 3,840.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.42 : 13,663.43 = 3,840.10 : x
2. Step 2: Convert to fraction form
   9,105.42/13,663.43 = 3,840.10/x
3. Step 3: Cross multiply
   9,105.42x = 13,663.43 × 3,840.10
4. Step 4: Simplify right side
   9,105.42x = 52,468,937.54
5. Step 5: Solve for x
   x = 52,468,937.54/9,105.42
6. Step 6: Final answer
   x = 5,762.39