Finding the Fourth Proportional to 2,745.78, 3,788.94 and 1,566.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.78 : 3,788.94 = 1,566.84 : x
2. Step 2: Convert to fraction form
   2,745.78/3,788.94 = 1,566.84/x
3. Step 3: Cross multiply
   2,745.78x = 3,788.94 × 1,566.84
4. Step 4: Simplify right side
   2,745.78x = 5,936,662.75
5. Step 5: Solve for x
   x = 5,936,662.75/2,745.78
6. Step 6: Final answer
   x = 2,162.10