Finding the Fourth Proportional to 10,596.50, 14,571.32 and 9,196.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.50 : 14,571.32 = 9,196.82 : x
2. Step 2: Convert to fraction form
   10,596.50/14,571.32 = 9,196.82/x
3. Step 3: Cross multiply
   10,596.50x = 14,571.32 × 9,196.82
4. Step 4: Simplify right side
   10,596.50x = 134,009,807.20
5. Step 5: Solve for x
   x = 134,009,807.20/10,596.50
6. Step 6: Final answer
   x = 12,646.61