Finding the Fourth Proportional to 2,363.52, 3,544.56 and 824.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,363.52 : 3,544.56 = 824.16 : x
2. Step 2: Convert to fraction form
   2,363.52/3,544.56 = 824.16/x
3. Step 3: Cross multiply
   2,363.52x = 3,544.56 × 824.16
4. Step 4: Simplify right side
   2,363.52x = 2,921,284.57
5. Step 5: Solve for x
   x = 2,921,284.57/2,363.52
6. Step 6: Final answer
   x = 1,235.99