Finding the Fourth Proportional to 9,106.14, 13,648.27 and 3,839.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.14 : 13,648.27 = 3,839.12 : x
2. Step 2: Convert to fraction form
   9,106.14/13,648.27 = 3,839.12/x
3. Step 3: Cross multiply
   9,106.14x = 13,648.27 × 3,839.12
4. Step 4: Simplify right side
   9,106.14x = 52,397,346.32
5. Step 5: Solve for x
   x = 52,397,346.32/9,106.14
6. Step 6: Final answer
   x = 5,754.07