Finding the Fourth Proportional to 2,005.15, 3,007.71 and 773.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.15 : 3,007.71 = 773.14 : x
2. Step 2: Convert to fraction form
   2,005.15/3,007.71 = 773.14/x
3. Step 3: Cross multiply
   2,005.15x = 3,007.71 × 773.14
4. Step 4: Simplify right side
   2,005.15x = 2,325,380.91
5. Step 5: Solve for x
   x = 2,325,380.91/2,005.15
6. Step 6: Final answer
   x = 1,159.70