Finding the Fourth Proportional to 9,175.68, 12,663.14 and 5,196.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,175.68 : 12,663.14 = 5,196.69 : x
2. Step 2: Convert to fraction form
   9,175.68/12,663.14 = 5,196.69/x
3. Step 3: Cross multiply
   9,175.68x = 12,663.14 × 5,196.69
4. Step 4: Simplify right side
   9,175.68x = 65,806,387.02
5. Step 5: Solve for x
   x = 65,806,387.02/9,175.68
6. Step 6: Final answer
   x = 7,171.83