Finding the Fourth Proportional to 5,601.78, 7,730.46 and 3,083.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,601.78 : 7,730.46 = 3,083.82 : x
2. Step 2: Convert to fraction form
   5,601.78/7,730.46 = 3,083.82/x
3. Step 3: Cross multiply
   5,601.78x = 7,730.46 × 3,083.82
4. Step 4: Simplify right side
   5,601.78x = 23,839,347.16
5. Step 5: Solve for x
   x = 23,839,347.16/5,601.78
6. Step 6: Final answer
   x = 4,255.67