Finding the Fourth Proportional to 9,388.50, 12,956.13 and 5,197.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,388.50 : 12,956.13 = 5,197.02 : x
2. Step 2: Convert to fraction form
   9,388.50/12,956.13 = 5,197.02/x
3. Step 3: Cross multiply
   9,388.50x = 12,956.13 × 5,197.02
4. Step 4: Simplify right side
   9,388.50x = 67,333,266.73
5. Step 5: Solve for x
   x = 67,333,266.73/9,388.50
6. Step 6: Final answer
   x = 7,171.89