Finding the Fourth Proportional to 9,172.88, 12,658.20 and 5,194.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,172.88 : 12,658.20 = 5,194.24 : x
2. Step 2: Convert to fraction form
   9,172.88/12,658.20 = 5,194.24/x
3. Step 3: Cross multiply
   9,172.88x = 12,658.20 × 5,194.24
4. Step 4: Simplify right side
   9,172.88x = 65,749,728.77
5. Step 5: Solve for x
   x = 65,749,728.77/9,172.88
6. Step 6: Final answer
   x = 7,167.84