Finding the Fourth Proportional to 9,643.82, 13,308.35 and 5,665.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.82 : 13,308.35 = 5,665.29 : x
2. Step 2: Convert to fraction form
   9,643.82/13,308.35 = 5,665.29/x
3. Step 3: Cross multiply
   9,643.82x = 13,308.35 × 5,665.29
4. Step 4: Simplify right side
   9,643.82x = 75,395,633.85
5. Step 5: Solve for x
   x = 75,395,633.85/9,643.82
6. Step 6: Final answer
   x = 7,818.03