Finding the Fourth Proportional to 9,105.06, 13,662.90 and 3,839.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.06 : 13,662.90 = 3,839.75 : x
2. Step 2: Convert to fraction form
   9,105.06/13,662.90 = 3,839.75/x
3. Step 3: Cross multiply
   9,105.06x = 13,662.90 × 3,839.75
4. Step 4: Simplify right side
   9,105.06x = 52,462,120.28
5. Step 5: Solve for x
   x = 52,462,120.28/9,105.06
6. Step 6: Final answer
   x = 5,761.86