Finding the Fourth Proportional to 11,541.34, 17,309.52 and 3,644.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,541.34 : 17,309.52 = 3,644.47 : x
2. Step 2: Convert to fraction form
   11,541.34/17,309.52 = 3,644.47/x
3. Step 3: Cross multiply
   11,541.34x = 17,309.52 × 3,644.47
4. Step 4: Simplify right side
   11,541.34x = 63,083,921.58
5. Step 5: Solve for x
   x = 63,083,921.58/11,541.34
6. Step 6: Final answer
   x = 5,465.91