Finding the Fourth Proportional to 2,003.82, 3,005.33 and 771.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.82 : 3,005.33 = 771.21 : x
2. Step 2: Convert to fraction form
   2,003.82/3,005.33 = 771.21/x
3. Step 3: Cross multiply
   2,003.82x = 3,005.33 × 771.21
4. Step 4: Simplify right side
   2,003.82x = 2,317,736.69
5. Step 5: Solve for x
   x = 2,317,736.69/2,003.82
6. Step 6: Final answer
   x = 1,156.66