Finding the Fourth Proportional to 2,005.02, 3,007.71 and 772.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.02 : 3,007.71 = 772.74 : x
2. Step 2: Convert to fraction form
   2,005.02/3,007.71 = 772.74/x
3. Step 3: Cross multiply
   2,005.02x = 3,007.71 × 772.74
4. Step 4: Simplify right side
   2,005.02x = 2,324,177.83
5. Step 5: Solve for x
   x = 2,324,177.83/2,005.02
6. Step 6: Final answer
   x = 1,159.18