Finding the Fourth Proportional to 2,745.50, 3,789.09 and 1,566.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.50 : 3,789.09 = 1,566.77 : x
2. Step 2: Convert to fraction form
   2,745.50/3,789.09 = 1,566.77/x
3. Step 3: Cross multiply
   2,745.50x = 3,789.09 × 1,566.77
4. Step 4: Simplify right side
   2,745.50x = 5,936,613.59
5. Step 5: Solve for x
   x = 5,936,613.59/2,745.50
6. Step 6: Final answer
   x = 2,162.31