Finding the Fourth Proportional to 2,003.82, 3,003.67 and 770.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.82 : 3,003.67 = 770.91 : x
2. Step 2: Convert to fraction form
   2,003.82/3,003.67 = 770.91/x
3. Step 3: Cross multiply
   2,003.82x = 3,003.67 × 770.91
4. Step 4: Simplify right side
   2,003.82x = 2,315,559.24
5. Step 5: Solve for x
   x = 2,315,559.24/2,003.82
6. Step 6: Final answer
   x = 1,155.57