Finding the Fourth Proportional to 2,745.51, 3,788.81 and 1,566.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.51 : 3,788.81 = 1,566.55 : x
2. Step 2: Convert to fraction form
   2,745.51/3,788.81 = 1,566.55/x
3. Step 3: Cross multiply
   2,745.51x = 3,788.81 × 1,566.55
4. Step 4: Simplify right side
   2,745.51x = 5,935,360.31
5. Step 5: Solve for x
   x = 5,935,360.31/2,745.51
6. Step 6: Final answer
   x = 2,161.84