Finding the Fourth Proportional to 2,744.89, 3,788.62 and 1,566.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.89 : 3,788.62 = 1,566.63 : x
2. Step 2: Convert to fraction form
   2,744.89/3,788.62 = 1,566.63/x
3. Step 3: Cross multiply
   2,744.89x = 3,788.62 × 1,566.63
4. Step 4: Simplify right side
   2,744.89x = 5,935,361.83
5. Step 5: Solve for x
   x = 5,935,361.83/2,744.89
6. Step 6: Final answer
   x = 2,162.33