Finding the Fourth Proportional to 2,005.74, 3,008.12 and 772.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.74 : 3,008.12 = 772.83 : x
2. Step 2: Convert to fraction form
   2,005.74/3,008.12 = 772.83/x
3. Step 3: Cross multiply
   2,005.74x = 3,008.12 × 772.83
4. Step 4: Simplify right side
   2,005.74x = 2,324,761.52
5. Step 5: Solve for x
   x = 2,324,761.52/2,005.74
6. Step 6: Final answer
   x = 1,159.05