Finding the Fourth Proportional to 2,745.77, 3,788.78 and 1,566.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.77 : 3,788.78 = 1,566.81 : x
2. Step 2: Convert to fraction form
   2,745.77/3,788.78 = 1,566.81/x
3. Step 3: Cross multiply
   2,745.77x = 3,788.78 × 1,566.81
4. Step 4: Simplify right side
   2,745.77x = 5,936,290.56
5. Step 5: Solve for x
   x = 5,936,290.56/2,745.77
6. Step 6: Final answer
   x = 2,161.98