Finding the Fourth Proportional to 9,175.41, 12,661.81 and 5,196.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,175.41 : 12,661.81 = 5,196.90 : x
2. Step 2: Convert to fraction form
   9,175.41/12,661.81 = 5,196.90/x
3. Step 3: Cross multiply
   9,175.41x = 12,661.81 × 5,196.90
4. Step 4: Simplify right side
   9,175.41x = 65,802,160.39
5. Step 5: Solve for x
   x = 65,802,160.39/9,175.41
6. Step 6: Final answer
   x = 7,171.58