Finding the Fourth Proportional to 3,643.15, 5,456.50 and 2,552.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.15 : 5,456.50 = 2,552.38 : x
2. Step 2: Convert to fraction form
   3,643.15/5,456.50 = 2,552.38/x
3. Step 3: Cross multiply
   3,643.15x = 5,456.50 × 2,552.38
4. Step 4: Simplify right side
   3,643.15x = 13,927,086.50
5. Step 5: Solve for x
   x = 13,927,086.50/3,643.15
6. Step 6: Final answer
   x = 3,822.82