Finding the Fourth Proportional to 3,822.96, 5,275.50 and 2,406.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.96 : 5,275.50 = 2,406.24 : x
2. Step 2: Convert to fraction form
   3,822.96/5,275.50 = 2,406.24/x
3. Step 3: Cross multiply
   3,822.96x = 5,275.50 × 2,406.24
4. Step 4: Simplify right side
   3,822.96x = 12,694,119.12
5. Step 5: Solve for x
   x = 12,694,119.12/3,822.96
6. Step 6: Final answer
   x = 3,320.49