Finding the Fourth Proportional to 2,744.53, 3,788.30 and 1,566.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.53 : 3,788.30 = 1,566.38 : x
2. Step 2: Convert to fraction form
   2,744.53/3,788.30 = 1,566.38/x
3. Step 3: Cross multiply
   2,744.53x = 3,788.30 × 1,566.38
4. Step 4: Simplify right side
   2,744.53x = 5,933,930.74
5. Step 5: Solve for x
   x = 5,933,930.74/2,744.53
6. Step 6: Final answer
   x = 2,162.10