Finding the Fourth Proportional to 10,596.25, 14,570.98 and 9,196.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.25 : 14,570.98 = 9,196.57 : x
2. Step 2: Convert to fraction form
   10,596.25/14,570.98 = 9,196.57/x
3. Step 3: Cross multiply
   10,596.25x = 14,570.98 × 9,196.57
4. Step 4: Simplify right side
   10,596.25x = 134,003,037.54
5. Step 5: Solve for x
   x = 134,003,037.54/10,596.25
6. Step 6: Final answer
   x = 12,646.27