Finding the Fourth Proportional to 9,175.71, 12,662.52 and 5,197.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,175.71 : 12,662.52 = 5,197.60 : x
2. Step 2: Convert to fraction form
   9,175.71/12,662.52 = 5,197.60/x
3. Step 3: Cross multiply
   9,175.71x = 12,662.52 × 5,197.60
4. Step 4: Simplify right side
   9,175.71x = 65,814,650.64
5. Step 5: Solve for x
   x = 65,814,650.64/9,175.71
6. Step 6: Final answer
   x = 7,172.70