Finding the Fourth Proportional to 6,942.88, 9,575.56 and 4,424.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942.88 : 9,575.56 = 4,424.20 : x
2. Step 2: Convert to fraction form
   6,942.88/9,575.56 = 4,424.20/x
3. Step 3: Cross multiply
   6,942.88x = 9,575.56 × 4,424.20
4. Step 4: Simplify right side
   6,942.88x = 42,364,192.55
5. Step 5: Solve for x
   x = 42,364,192.55/6,942.88
6. Step 6: Final answer
   x = 6,101.82