Finding the Fourth Proportional to 3,856.67, 5,786.00 and 1,664.87

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.67 : 5,786.00 = 1,664.87 : x
2. Step 2: Convert to fraction form
   3,856.67/5,786.00 = 1,664.87/x
3. Step 3: Cross multiply
   3,856.67x = 5,786.00 × 1,664.87
4. Step 4: Simplify right side
   3,856.67x = 9,632,900.57
5. Step 5: Solve for x
   x = 9,632,900.57/3,856.67
6. Step 6: Final answer
   x = 2,497.73