Finding the Fourth Proportional to 2,228.96, 3,074.56 and 1,565.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,228.96 : 3,074.56 = 1,565.76 : x
2. Step 2: Convert to fraction form
   2,228.96/3,074.56 = 1,565.76/x
3. Step 3: Cross multiply
   2,228.96x = 3,074.56 × 1,565.76
4. Step 4: Simplify right side
   2,228.96x = 4,814,023.07
5. Step 5: Solve for x
   x = 4,814,023.07/2,228.96
6. Step 6: Final answer
   x = 2,159.76