Finding the Fourth Proportional to 9,196.75, 12,691.56 and 5,005

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.75 : 12,691.56 = 5,005 : x
2. Step 2: Convert to fraction form
   9,196.75/12,691.56 = 5,005/x
3. Step 3: Cross multiply
   9,196.75x = 12,691.56 × 5,005
4. Step 4: Simplify right side
   9,196.75x = 63,521,257.80
5. Step 5: Solve for x
   x = 63,521,257.80/9,196.75
6. Step 6: Final answer
   x = 6,906.92