Finding the Fourth Proportional to 2,745.92, 3,789.48 and 1,566.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.92 : 3,789.48 = 1,566.98 : x
2. Step 2: Convert to fraction form
   2,745.92/3,789.48 = 1,566.98/x
3. Step 3: Cross multiply
   2,745.92x = 3,789.48 × 1,566.98
4. Step 4: Simplify right side
   2,745.92x = 5,938,039.37
5. Step 5: Solve for x
   x = 5,938,039.37/2,745.92
6. Step 6: Final answer
   x = 2,162.50