Finding the Fourth Proportional to 9,438.40, 13,023.78 and 5,459.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,438.40 : 13,023.78 = 5,459.20 : x
2. Step 2: Convert to fraction form
   9,438.40/13,023.78 = 5,459.20/x
3. Step 3: Cross multiply
   9,438.40x = 13,023.78 × 5,459.20
4. Step 4: Simplify right side
   9,438.40x = 71,099,419.78
5. Step 5: Solve for x
   x = 71,099,419.78/9,438.40
6. Step 6: Final answer
   x = 7,532.99