Finding the Fourth Proportional to 9,643.50, 13,308.84 and 6,105.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.50 : 13,308.84 = 6,105.42 : x
2. Step 2: Convert to fraction form
   9,643.50/13,308.84 = 6,105.42/x
3. Step 3: Cross multiply
   9,643.50x = 13,308.84 × 6,105.42
4. Step 4: Simplify right side
   9,643.50x = 81,256,057.91
5. Step 5: Solve for x
   x = 81,256,057.91/9,643.50
6. Step 6: Final answer
   x = 8,425.99