Finding the Fourth Proportional to 2,745.57, 3,788.73 and 1,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.57 : 3,788.73 = 1,566.75 : x
2. Step 2: Convert to fraction form
   2,745.57/3,788.73 = 1,566.75/x
3. Step 3: Cross multiply
   2,745.57x = 3,788.73 × 1,566.75
4. Step 4: Simplify right side
   2,745.57x = 5,935,992.73
5. Step 5: Solve for x
   x = 5,935,992.73/2,745.57
6. Step 6: Final answer
   x = 2,162.03