Finding the Fourth Proportional to 13,096.80, 19,629.57 and 9,126.55

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096.80 : 19,629.57 = 9,126.55 : x
2. Step 2: Convert to fraction form
   13,096.80/19,629.57 = 9,126.55/x
3. Step 3: Cross multiply
   13,096.80x = 19,629.57 × 9,126.55
4. Step 4: Simplify right side
   13,096.80x = 179,150,310.85
5. Step 5: Solve for x
   x = 179,150,310.85/13,096.80
6. Step 6: Final answer
   x = 13,678.94