Finding the Fourth Proportional to 9,172.69, 12,658.36 and 5,194.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,172.69 : 12,658.36 = 5,194.58 : x
2. Step 2: Convert to fraction form
   9,172.69/12,658.36 = 5,194.58/x
3. Step 3: Cross multiply
   9,172.69x = 12,658.36 × 5,194.58
4. Step 4: Simplify right side
   9,172.69x = 65,754,863.69
5. Step 5: Solve for x
   x = 65,754,863.69/9,172.69
6. Step 6: Final answer
   x = 7,168.55