Finding the Fourth Proportional to 3,105.78, 4,658.16 and 1,025.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.78 : 4,658.16 = 1,025.82 : x
2. Step 2: Convert to fraction form
   3,105.78/4,658.16 = 1,025.82/x
3. Step 3: Cross multiply
   3,105.78x = 4,658.16 × 1,025.82
4. Step 4: Simplify right side
   3,105.78x = 4,778,433.69
5. Step 5: Solve for x
   x = 4,778,433.69/3,105.78
6. Step 6: Final answer
   x = 1,538.56