Finding the Fourth Proportional to 12,784.50, 17,644.23 and 7,196.58

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.50 : 17,644.23 = 7,196.58 : x
2. Step 2: Convert to fraction form
   12,784.50/17,644.23 = 7,196.58/x
3. Step 3: Cross multiply
   12,784.50x = 17,644.23 × 7,196.58
4. Step 4: Simplify right side
   12,784.50x = 126,978,112.73
5. Step 5: Solve for x
   x = 126,978,112.73/12,784.50
6. Step 6: Final answer
   x = 9,932.19