Finding the Fourth Proportional to 9,628.43, 13,287.33 and 5,649.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628.43 : 13,287.33 = 5,649.62 : x
2. Step 2: Convert to fraction form
   9,628.43/13,287.33 = 5,649.62/x
3. Step 3: Cross multiply
   9,628.43x = 13,287.33 × 5,649.62
4. Step 4: Simplify right side
   9,628.43x = 75,068,298.88
5. Step 5: Solve for x
   x = 75,068,298.88/9,628.43
6. Step 6: Final answer
   x = 7,796.52