Finding the Fourth Proportional to 9,589.05, 13,230.59 and 5,397.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.05 : 13,230.59 = 5,397.30 : x
2. Step 2: Convert to fraction form
   9,589.05/13,230.59 = 5,397.30/x
3. Step 3: Cross multiply
   9,589.05x = 13,230.59 × 5,397.30
4. Step 4: Simplify right side
   9,589.05x = 71,409,436.42
5. Step 5: Solve for x
   x = 71,409,436.42/9,589.05
6. Step 6: Final answer
   x = 7,446.98