Finding the Fourth Proportional to 2,007.83, 3,012.23 and 775.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.83 : 3,012.23 = 775.32 : x
2. Step 2: Convert to fraction form
   2,007.83/3,012.23 = 775.32/x
3. Step 3: Cross multiply
   2,007.83x = 3,012.23 × 775.32
4. Step 4: Simplify right side
   2,007.83x = 2,335,444.10
5. Step 5: Solve for x
   x = 2,335,444.10/2,007.83
6. Step 6: Final answer
   x = 1,163.17