Finding the Fourth Proportional to 2,003.36, 3,003.84 and 770.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.36 : 3,003.84 = 770.85 : x
2. Step 2: Convert to fraction form
   2,003.36/3,003.84 = 770.85/x
3. Step 3: Cross multiply
   2,003.36x = 3,003.84 × 770.85
4. Step 4: Simplify right side
   2,003.36x = 2,315,510.06
5. Step 5: Solve for x
   x = 2,315,510.06/2,003.36
6. Step 6: Final answer
   x = 1,155.82