Finding the Fourth Proportional to 11,456.37, 17,184.24 and 3,665.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456.37 : 17,184.24 = 3,665.07 : x
2. Step 2: Convert to fraction form
   11,456.37/17,184.24 = 3,665.07/x
3. Step 3: Cross multiply
   11,456.37x = 17,184.24 × 3,665.07
4. Step 4: Simplify right side
   11,456.37x = 62,981,442.50
5. Step 5: Solve for x
   x = 62,981,442.50/11,456.37
6. Step 6: Final answer
   x = 5,497.50