Finding the Fourth Proportional to 9,105.76, 13,654.82 and 3,843.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.76 : 13,654.82 = 3,843.14 : x
2. Step 2: Convert to fraction form
   9,105.76/13,654.82 = 3,843.14/x
3. Step 3: Cross multiply
   9,105.76x = 13,654.82 × 3,843.14
4. Step 4: Simplify right side
   9,105.76x = 52,477,384.93
5. Step 5: Solve for x
   x = 52,477,384.93/9,105.76
6. Step 6: Final answer
   x = 5,763.10