Finding the Fourth Proportional to 3,101.16, 4,650.82 and 1,020.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.16 : 4,650.82 = 1,020.78 : x
2. Step 2: Convert to fraction form
   3,101.16/4,650.82 = 1,020.78/x
3. Step 3: Cross multiply
   3,101.16x = 4,650.82 × 1,020.78
4. Step 4: Simplify right side
   3,101.16x = 4,747,458.94
5. Step 5: Solve for x
   x = 4,747,458.94/3,101.16
6. Step 6: Final answer
   x = 1,530.87