Finding the Fourth Proportional to 6,942.34, 9,579.57 and 3,957.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942.34 : 9,579.57 = 3,957.80 : x
2. Step 2: Convert to fraction form
   6,942.34/9,579.57 = 3,957.80/x
3. Step 3: Cross multiply
   6,942.34x = 9,579.57 × 3,957.80
4. Step 4: Simplify right side
   6,942.34x = 37,914,022.15
5. Step 5: Solve for x
   x = 37,914,022.15/6,942.34
6. Step 6: Final answer
   x = 5,461.27