Finding the Fourth Proportional to 3,077.82, 4,616.58 and 1,129.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,077.82 : 4,616.58 = 1,129.89 : x
2. Step 2: Convert to fraction form
   3,077.82/4,616.58 = 1,129.89/x
3. Step 3: Cross multiply
   3,077.82x = 4,616.58 × 1,129.89
4. Step 4: Simplify right side
   3,077.82x = 5,216,227.58
5. Step 5: Solve for x
   x = 5,216,227.58/3,077.82
6. Step 6: Final answer
   x = 1,694.78