Finding the Fourth Proportional to 9,596.78, 13,249.68 and 7,832.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596.78 : 13,249.68 = 7,832.60 : x
2. Step 2: Convert to fraction form
   9,596.78/13,249.68 = 7,832.60/x
3. Step 3: Cross multiply
   9,596.78x = 13,249.68 × 7,832.60
4. Step 4: Simplify right side
   9,596.78x = 103,779,443.57
5. Step 5: Solve for x
   x = 103,779,443.57/9,596.78
6. Step 6: Final answer
   x = 10,813.99