Finding the Fourth Proportional to 2,744.78, 3,788.01 and 1,566.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.78 : 3,788.01 = 1,566.20 : x
2. Step 2: Convert to fraction form
   2,744.78/3,788.01 = 1,566.20/x
3. Step 3: Cross multiply
   2,744.78x = 3,788.01 × 1,566.20
4. Step 4: Simplify right side
   2,744.78x = 5,932,781.26
5. Step 5: Solve for x
   x = 5,932,781.26/2,744.78
6. Step 6: Final answer
   x = 2,161.48