Finding the Fourth Proportional to 2,745.56, 3,788.52 and 1,566.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.56 : 3,788.52 = 1,566.74 : x
2. Step 2: Convert to fraction form
   2,745.56/3,788.52 = 1,566.74/x
3. Step 3: Cross multiply
   2,745.56x = 3,788.52 × 1,566.74
4. Step 4: Simplify right side
   2,745.56x = 5,935,625.82
5. Step 5: Solve for x
   x = 5,935,625.82/2,745.56
6. Step 6: Final answer
   x = 2,161.90