Finding the Fourth Proportional to 2,596.50, 3,583.18 and 1,665

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.50 : 3,583.18 = 1,665 : x
2. Step 2: Convert to fraction form
   2,596.50/3,583.18 = 1,665/x
3. Step 3: Cross multiply
   2,596.50x = 3,583.18 × 1,665
4. Step 4: Simplify right side
   2,596.50x = 5,965,994.70
5. Step 5: Solve for x
   x = 5,965,994.70/2,596.50
6. Step 6: Final answer
   x = 2,297.71