Finding the Fourth Proportional to 2,002.93, 3,004.50 and 769.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.93 : 3,004.50 = 769.77 : x
2. Step 2: Convert to fraction form
   2,002.93/3,004.50 = 769.77/x
3. Step 3: Cross multiply
   2,002.93x = 3,004.50 × 769.77
4. Step 4: Simplify right side
   2,002.93x = 2,312,773.97
5. Step 5: Solve for x
   x = 2,312,773.97/2,002.93
6. Step 6: Final answer
   x = 1,154.70