Finding the Fourth Proportional to 2,744.97, 3,788.01 and 1,565.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.97 : 3,788.01 = 1,565.82 : x
2. Step 2: Convert to fraction form
   2,744.97/3,788.01 = 1,565.82/x
3. Step 3: Cross multiply
   2,744.97x = 3,788.01 × 1,565.82
4. Step 4: Simplify right side
   2,744.97x = 5,931,341.82
5. Step 5: Solve for x
   x = 5,931,341.82/2,744.97
6. Step 6: Final answer
   x = 2,160.80