Finding the Fourth Proportional to 9,175.14, 12,661.65 and 5,196.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,175.14 : 12,661.65 = 5,196.96 : x
2. Step 2: Convert to fraction form
   9,175.14/12,661.65 = 5,196.96/x
3. Step 3: Cross multiply
   9,175.14x = 12,661.65 × 5,196.96
4. Step 4: Simplify right side
   9,175.14x = 65,802,088.58
5. Step 5: Solve for x
   x = 65,802,088.58/9,175.14
6. Step 6: Final answer
   x = 7,171.78