Finding the Fourth Proportional to 2,596.50, 3,582.09 and 1,601.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.50 : 3,582.09 = 1,601.46 : x
2. Step 2: Convert to fraction form
   2,596.50/3,582.09 = 1,601.46/x
3. Step 3: Cross multiply
   2,596.50x = 3,582.09 × 1,601.46
4. Step 4: Simplify right side
   2,596.50x = 5,736,573.85
5. Step 5: Solve for x
   x = 5,736,573.85/2,596.50
6. Step 6: Final answer
   x = 2,209.35