Finding the Fourth Proportional to 2,644.75, 3,649.76 and 1,596.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.75 : 3,649.76 = 1,596.61 : x
2. Step 2: Convert to fraction form
   2,644.75/3,649.76 = 1,596.61/x
3. Step 3: Cross multiply
   2,644.75x = 3,649.76 × 1,596.61
4. Step 4: Simplify right side
   2,644.75x = 5,827,243.31
5. Step 5: Solve for x
   x = 5,827,243.31/2,644.75
6. Step 6: Final answer
   x = 2,203.32