Finding the Fourth Proportional to 3,825.21, 5,274.59 and 2,644.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.21 : 5,274.59 = 2,644.23 : x
2. Step 2: Convert to fraction form
   3,825.21/5,274.59 = 2,644.23/x
3. Step 3: Cross multiply
   3,825.21x = 5,274.59 × 2,644.23
4. Step 4: Simplify right side
   3,825.21x = 13,947,215.89
5. Step 5: Solve for x
   x = 13,947,215.89/3,825.21
6. Step 6: Final answer
   x = 3,646.13