Finding the Fourth Proportional to 9,196.64, 12,691.12 and 5,004.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.64 : 12,691.12 = 5,004.80 : x
2. Step 2: Convert to fraction form
   9,196.64/12,691.12 = 5,004.80/x
3. Step 3: Cross multiply
   9,196.64x = 12,691.12 × 5,004.80
4. Step 4: Simplify right side
   9,196.64x = 63,516,517.38
5. Step 5: Solve for x
   x = 63,516,517.38/9,196.64
6. Step 6: Final answer
   x = 6,906.49