Finding the Fourth Proportional to 2,745.94, 3,788.46 and 1,566.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.94 : 3,788.46 = 1,566.16 : x
2. Step 2: Convert to fraction form
   2,745.94/3,788.46 = 1,566.16/x
3. Step 3: Cross multiply
   2,745.94x = 3,788.46 × 1,566.16
4. Step 4: Simplify right side
   2,745.94x = 5,933,334.51
5. Step 5: Solve for x
   x = 5,933,334.51/2,745.94
6. Step 6: Final answer
   x = 2,160.77