Finding the Fourth Proportional to 9,196.36, 12,691.86 and 5,661.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.36 : 12,691.86 = 5,661.64 : x
2. Step 2: Convert to fraction form
   9,196.36/12,691.86 = 5,661.64/x
3. Step 3: Cross multiply
   9,196.36x = 12,691.86 × 5,661.64
4. Step 4: Simplify right side
   9,196.36x = 71,856,742.25
5. Step 5: Solve for x
   x = 71,856,742.25/9,196.36
6. Step 6: Final answer
   x = 7,813.61