Finding the Fourth Proportional to 5,629.98, 7,761.13 and 3,946.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.98 : 7,761.13 = 3,946.30 : x
2. Step 2: Convert to fraction form
   5,629.98/7,761.13 = 3,946.30/x
3. Step 3: Cross multiply
   5,629.98x = 7,761.13 × 3,946.30
4. Step 4: Simplify right side
   5,629.98x = 30,627,771.65
5. Step 5: Solve for x
   x = 30,627,771.65/5,629.98
6. Step 6: Final answer
   x = 5,440.12