Finding the Fourth Proportional to 9,645.91, 13,311.60 and 5,396.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.91 : 13,311.60 = 5,396.83 : x
2. Step 2: Convert to fraction form
   9,645.91/13,311.60 = 5,396.83/x
3. Step 3: Cross multiply
   9,645.91x = 13,311.60 × 5,396.83
4. Step 4: Simplify right side
   9,645.91x = 71,840,442.23
5. Step 5: Solve for x
   x = 71,840,442.23/9,645.91
6. Step 6: Final answer
   x = 7,447.76