Finding the Fourth Proportional to 9,196.50, 12,691.17 and 5,004.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.50 : 12,691.17 = 5,004.78 : x
2. Step 2: Convert to fraction form
   9,196.50/12,691.17 = 5,004.78/x
3. Step 3: Cross multiply
   9,196.50x = 12,691.17 × 5,004.78
4. Step 4: Simplify right side
   9,196.50x = 63,516,513.79
5. Step 5: Solve for x
   x = 63,516,513.79/9,196.50
6. Step 6: Final answer
   x = 6,906.60