Finding the Fourth Proportional to 9,645.88, 13,311.57 and 5,396.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.88 : 13,311.57 = 5,396.80 : x
2. Step 2: Convert to fraction form
   9,645.88/13,311.57 = 5,396.80/x
3. Step 3: Cross multiply
   9,645.88x = 13,311.57 × 5,396.80
4. Step 4: Simplify right side
   9,645.88x = 71,839,880.98
5. Step 5: Solve for x
   x = 71,839,880.98/9,645.88
6. Step 6: Final answer
   x = 7,447.73