Finding the Fourth Proportional to 9,105.14, 13,646.77 and 3,838.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.14 : 13,646.77 = 3,838.12 : x
2. Step 2: Convert to fraction form
   9,105.14/13,646.77 = 3,838.12/x
3. Step 3: Cross multiply
   9,105.14x = 13,646.77 × 3,838.12
4. Step 4: Simplify right side
   9,105.14x = 52,377,897.16
5. Step 5: Solve for x
   x = 52,377,897.16/9,105.14
6. Step 6: Final answer
   x = 5,752.56