Finding the Fourth Proportional to 9,438.57, 13,025.27 and 5,189.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,438.57 : 13,025.27 = 5,189.90 : x
2. Step 2: Convert to fraction form
   9,438.57/13,025.27 = 5,189.90/x
3. Step 3: Cross multiply
   9,438.57x = 13,025.27 × 5,189.90
4. Step 4: Simplify right side
   9,438.57x = 67,599,912.89
5. Step 5: Solve for x
   x = 67,599,912.89/9,438.57
6. Step 6: Final answer
   x = 7,162.09