Finding the Fourth Proportional to 9,398.28, 12,970.20 and 5,419.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,398.28 : 12,970.20 = 5,419.32 : x
2. Step 2: Convert to fraction form
   9,398.28/12,970.20 = 5,419.32/x
3. Step 3: Cross multiply
   9,398.28x = 12,970.20 × 5,419.32
4. Step 4: Simplify right side
   9,398.28x = 70,289,664.26
5. Step 5: Solve for x
   x = 70,289,664.26/9,398.28
6. Step 6: Final answer
   x = 7,478.99