Finding the Fourth Proportional to 11,965.42, 17,950.31 and 3,644.49

Step by Step Solution

1. Step 1: Write the proportion equation
   11,965.42 : 17,950.31 = 3,644.49 : x
2. Step 2: Convert to fraction form
   11,965.42/17,950.31 = 3,644.49/x
3. Step 3: Cross multiply
   11,965.42x = 17,950.31 × 3,644.49
4. Step 4: Simplify right side
   11,965.42x = 65,419,725.29
5. Step 5: Solve for x
   x = 65,419,725.29/11,965.42
6. Step 6: Final answer
   x = 5,467.40