Finding the Fourth Proportional to 12,784, 17,643.54 and 7,196.08

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 17,643.54 = 7,196.08 : x
2. Step 2: Convert to fraction form
   12,784/17,643.54 = 7,196.08/x
3. Step 3: Cross multiply
   12,784x = 17,643.54 × 7,196.08
4. Step 4: Simplify right side
   12,784x = 126,964,325.32
5. Step 5: Solve for x
   x = 126,964,325.32/12,784
6. Step 6: Final answer
   x = 9,931.50