Finding the Fourth Proportional to 11,644.75, 17,468.77 and 3,744.62

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644.75 : 17,468.77 = 3,744.62 : x
2. Step 2: Convert to fraction form
   11,644.75/17,468.77 = 3,744.62/x
3. Step 3: Cross multiply
   11,644.75x = 17,468.77 × 3,744.62
4. Step 4: Simplify right side
   11,644.75x = 65,413,905.52
5. Step 5: Solve for x
   x = 65,413,905.52/11,644.75
6. Step 6: Final answer
   x = 5,617.46