Finding the Fourth Proportional to 2,446.81, 3,667.80 and 1,566.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.81 : 3,667.80 = 1,566.81 : x
2. Step 2: Convert to fraction form
   2,446.81/3,667.80 = 1,566.81/x
3. Step 3: Cross multiply
   2,446.81x = 3,667.80 × 1,566.81
4. Step 4: Simplify right side
   2,446.81x = 5,746,745.72
5. Step 5: Solve for x
   x = 5,746,745.72/2,446.81
6. Step 6: Final answer
   x = 2,348.67