Finding the Fourth Proportional to 2,306.67, 3,186.20 and 1,866.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,306.67 : 3,186.20 = 1,866.23 : x
2. Step 2: Convert to fraction form
   2,306.67/3,186.20 = 1,866.23/x
3. Step 3: Cross multiply
   2,306.67x = 3,186.20 × 1,866.23
4. Step 4: Simplify right side
   2,306.67x = 5,946,182.03
5. Step 5: Solve for x
   x = 5,946,182.03/2,306.67
6. Step 6: Final answer
   x = 2,577.82