Finding the Fourth Proportional to 11,596.88, 17,378.04 and 6,404.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596.88 : 17,378.04 = 6,404.24 : x
2. Step 2: Convert to fraction form
   11,596.88/17,378.04 = 6,404.24/x
3. Step 3: Cross multiply
   11,596.88x = 17,378.04 × 6,404.24
4. Step 4: Simplify right side
   11,596.88x = 111,293,138.89
5. Step 5: Solve for x
   x = 111,293,138.89/11,596.88
6. Step 6: Final answer
   x = 9,596.82