Finding the Fourth Proportional to 6,926.02, 9,558.42 and 3,942.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,926.02 : 9,558.42 = 3,942.82 : x
2. Step 2: Convert to fraction form
   6,926.02/9,558.42 = 3,942.82/x
3. Step 3: Cross multiply
   6,926.02x = 9,558.42 × 3,942.82
4. Step 4: Simplify right side
   6,926.02x = 37,687,129.54
5. Step 5: Solve for x
   x = 37,687,129.54/6,926.02
6. Step 6: Final answer
   x = 5,441.38