Finding the Fourth Proportional to 2,641.56, 3,965.58 and 2,421.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.56 : 3,965.58 = 2,421.24 : x
2. Step 2: Convert to fraction form
   2,641.56/3,965.58 = 2,421.24/x
3. Step 3: Cross multiply
   2,641.56x = 3,965.58 × 2,421.24
4. Step 4: Simplify right side
   2,641.56x = 9,601,620.92
5. Step 5: Solve for x
   x = 9,601,620.92/2,641.56
6. Step 6: Final answer
   x = 3,634.83