Finding the Fourth Proportional to 9,649.64, 13,315.85 and 5,399.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.64 : 13,315.85 = 5,399.96 : x
2. Step 2: Convert to fraction form
   9,649.64/13,315.85 = 5,399.96/x
3. Step 3: Cross multiply
   9,649.64x = 13,315.85 × 5,399.96
4. Step 4: Simplify right side
   9,649.64x = 71,905,057.37
5. Step 5: Solve for x
   x = 71,905,057.37/9,649.64
6. Step 6: Final answer
   x = 7,451.58