Finding the Fourth Proportional to 12,966, 17,896.32 and 7,380.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966 : 17,896.32 = 7,380.24 : x
2. Step 2: Convert to fraction form
   12,966/17,896.32 = 7,380.24/x
3. Step 3: Cross multiply
   12,966x = 17,896.32 × 7,380.24
4. Step 4: Simplify right side
   12,966x = 132,079,136.72
5. Step 5: Solve for x
   x = 132,079,136.72/12,966
6. Step 6: Final answer
   x = 10,186.58