Finding the Fourth Proportional to 9,649.89, 14,473.10 and 5,205.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.89 : 14,473.10 = 5,205.48 : x
2. Step 2: Convert to fraction form
   9,649.89/14,473.10 = 5,205.48/x
3. Step 3: Cross multiply
   9,649.89x = 14,473.10 × 5,205.48
4. Step 4: Simplify right side
   9,649.89x = 75,339,406.56
5. Step 5: Solve for x
   x = 75,339,406.56/9,649.89
6. Step 6: Final answer
   x = 7,807.28