Finding the Fourth Proportional to 9,389.50, 12,957.78 and 5,198.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,389.50 : 12,957.78 = 5,198.02 : x
2. Step 2: Convert to fraction form
   9,389.50/12,957.78 = 5,198.02/x
3. Step 3: Cross multiply
   9,389.50x = 12,957.78 × 5,198.02
4. Step 4: Simplify right side
   9,389.50x = 67,354,799.60
5. Step 5: Solve for x
   x = 67,354,799.60/9,389.50
6. Step 6: Final answer
   x = 7,173.42