Finding the Fourth Proportional to 2,007.10, 3,011.60 and 774.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.10 : 3,011.60 = 774.96 : x
2. Step 2: Convert to fraction form
   2,007.10/3,011.60 = 774.96/x
3. Step 3: Cross multiply
   2,007.10x = 3,011.60 × 774.96
4. Step 4: Simplify right side
   2,007.10x = 2,333,869.54
5. Step 5: Solve for x
   x = 2,333,869.54/2,007.10
6. Step 6: Final answer
   x = 1,162.81