Finding the Fourth Proportional to 12,787.68, 17,644.08 and 7,196.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,787.68 : 17,644.08 = 7,196.64 : x
2. Step 2: Convert to fraction form
   12,787.68/17,644.08 = 7,196.64/x
3. Step 3: Cross multiply
   12,787.68x = 17,644.08 × 7,196.64
4. Step 4: Simplify right side
   12,787.68x = 126,978,091.89
5. Step 5: Solve for x
   x = 126,978,091.89/12,787.68
6. Step 6: Final answer
   x = 9,929.72