Finding the Fourth Proportional to 12,843.92, 17,724.72 and 7,538.80

Step by Step Solution

1. Step 1: Write the proportion equation
   12,843.92 : 17,724.72 = 7,538.80 : x
2. Step 2: Convert to fraction form
   12,843.92/17,724.72 = 7,538.80/x
3. Step 3: Cross multiply
   12,843.92x = 17,724.72 × 7,538.80
4. Step 4: Simplify right side
   12,843.92x = 133,623,119.14
5. Step 5: Solve for x
   x = 133,623,119.14/12,843.92
6. Step 6: Final answer
   x = 10,403.61