Finding the Fourth Proportional to 2,005.82, 3,008.83 and 773

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.82 : 3,008.83 = 773 : x
2. Step 2: Convert to fraction form
   2,005.82/3,008.83 = 773/x
3. Step 3: Cross multiply
   2,005.82x = 3,008.83 × 773
4. Step 4: Simplify right side
   2,005.82x = 2,325,825.59
5. Step 5: Solve for x
   x = 2,325,825.59/2,005.82
6. Step 6: Final answer
   x = 1,159.54