Finding the Fourth Proportional to 11,540.78, 17,315.20 and 3,644.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540.78 : 17,315.20 = 3,644.52 : x
2. Step 2: Convert to fraction form
   11,540.78/17,315.20 = 3,644.52/x
3. Step 3: Cross multiply
   11,540.78x = 17,315.20 × 3,644.52
4. Step 4: Simplify right side
   11,540.78x = 63,105,592.70
5. Step 5: Solve for x
   x = 63,105,592.70/11,540.78
6. Step 6: Final answer
   x = 5,468.05