Finding the Fourth Proportional to 2,597.50, 3,584.55 and 1,666

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.50 : 3,584.55 = 1,666 : x
2. Step 2: Convert to fraction form
   2,597.50/3,584.55 = 1,666/x
3. Step 3: Cross multiply
   2,597.50x = 3,584.55 × 1,666
4. Step 4: Simplify right side
   2,597.50x = 5,971,860.30
5. Step 5: Solve for x
   x = 5,971,860.30/2,597.50
6. Step 6: Final answer
   x = 2,299.08