Finding the Fourth Proportional to 2,744.98, 3,788.43 and 1,566.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.98 : 3,788.43 = 1,566.28 : x
2. Step 2: Convert to fraction form
   2,744.98/3,788.43 = 1,566.28/x
3. Step 3: Cross multiply
   2,744.98x = 3,788.43 × 1,566.28
4. Step 4: Simplify right side
   2,744.98x = 5,933,742.14
5. Step 5: Solve for x
   x = 5,933,742.14/2,744.98
6. Step 6: Final answer
   x = 2,161.67