Finding the Fourth Proportional to 9,653.69, 13,324.73 and 5,676.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.69 : 13,324.73 = 5,676.10 : x
2. Step 2: Convert to fraction form
   9,653.69/13,324.73 = 5,676.10/x
3. Step 3: Cross multiply
   9,653.69x = 13,324.73 × 5,676.10
4. Step 4: Simplify right side
   9,653.69x = 75,632,438.26
5. Step 5: Solve for x
   x = 75,632,438.26/9,653.69
6. Step 6: Final answer
   x = 7,834.56