Finding the Fourth Proportional to 2,745.49, 3,788.76 and 1,566.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,745.49 : 3,788.76 = 1,566.54 : x
2. Step 2: Convert to fraction form
   2,745.49/3,788.76 = 1,566.54/x
3. Step 3: Cross multiply
   2,745.49x = 3,788.76 × 1,566.54
4. Step 4: Simplify right side
   2,745.49x = 5,935,244.09
5. Step 5: Solve for x
   x = 5,935,244.09/2,745.49
6. Step 6: Final answer
   x = 2,161.82