Finding the Fourth Proportional to 2,745.68, 3,788.88 and 1,566.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.68 : 3,788.88 = 1,566.86 : x
2. Step 2: Convert to fraction form
   2,745.68/3,788.88 = 1,566.86/x
3. Step 3: Cross multiply
   2,745.68x = 3,788.88 × 1,566.86
4. Step 4: Simplify right side
   2,745.68x = 5,936,644.52
5. Step 5: Solve for x
   x = 5,936,644.52/2,745.68
6. Step 6: Final answer
   x = 2,162.18