Finding the Fourth Proportional to 2,004.16, 3,004.52 and 770.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.16 : 3,004.52 = 770.71 : x
2. Step 2: Convert to fraction form
   2,004.16/3,004.52 = 770.71/x
3. Step 3: Cross multiply
   2,004.16x = 3,004.52 × 770.71
4. Step 4: Simplify right side
   2,004.16x = 2,315,594.73
5. Step 5: Solve for x
   x = 2,315,594.73/2,004.16
6. Step 6: Final answer
   x = 1,155.40