Finding the Fourth Proportional to 2,745.86, 3,788.37 and 1,566.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.86 : 3,788.37 = 1,566.68 : x
2. Step 2: Convert to fraction form
   2,745.86/3,788.37 = 1,566.68/x
3. Step 3: Cross multiply
   2,745.86x = 3,788.37 × 1,566.68
4. Step 4: Simplify right side
   2,745.86x = 5,935,144.57
5. Step 5: Solve for x
   x = 5,935,144.57/2,745.86
6. Step 6: Final answer
   x = 2,161.49