Finding the Fourth Proportional to 3,640.96, 5,024.24 and 2,362.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,640.96 : 5,024.24 = 2,362.56 : x
2. Step 2: Convert to fraction form
   3,640.96/5,024.24 = 2,362.56/x
3. Step 3: Cross multiply
   3,640.96x = 5,024.24 × 2,362.56
4. Step 4: Simplify right side
   3,640.96x = 11,870,068.45
5. Step 5: Solve for x
   x = 11,870,068.45/3,640.96
6. Step 6: Final answer
   x = 3,260.15