Finding the Fourth Proportional to 2,003.94, 3,004.65 and 770.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.94 : 3,004.65 = 770.04 : x
2. Step 2: Convert to fraction form
   2,003.94/3,004.65 = 770.04/x
3. Step 3: Cross multiply
   2,003.94x = 3,004.65 × 770.04
4. Step 4: Simplify right side
   2,003.94x = 2,313,700.69
5. Step 5: Solve for x
   x = 2,313,700.69/2,003.94
6. Step 6: Final answer
   x = 1,154.58