Finding the Fourth Proportional to 2,644.56, 3,649.60 and 1,596.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.56 : 3,649.60 = 1,596.42 : x
2. Step 2: Convert to fraction form
   2,644.56/3,649.60 = 1,596.42/x
3. Step 3: Cross multiply
   2,644.56x = 3,649.60 × 1,596.42
4. Step 4: Simplify right side
   2,644.56x = 5,826,294.43
5. Step 5: Solve for x
   x = 5,826,294.43/2,644.56
6. Step 6: Final answer
   x = 2,203.12