Finding the Fourth Proportional to 9,589.85, 13,235.82 and 5,398.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.85 : 13,235.82 = 5,398.10 : x
2. Step 2: Convert to fraction form
   9,589.85/13,235.82 = 5,398.10/x
3. Step 3: Cross multiply
   9,589.85x = 13,235.82 × 5,398.10
4. Step 4: Simplify right side
   9,589.85x = 71,448,213.76
5. Step 5: Solve for x
   x = 71,448,213.76/9,589.85
6. Step 6: Final answer
   x = 7,450.40