Finding the Fourth Proportional to 6,426.24, 9,638.64 and 4,359.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.24 : 9,638.64 = 4,359.52 : x
2. Step 2: Convert to fraction form
   6,426.24/9,638.64 = 4,359.52/x
3. Step 3: Cross multiply
   6,426.24x = 9,638.64 × 4,359.52
4. Step 4: Simplify right side
   6,426.24x = 42,019,843.85
5. Step 5: Solve for x
   x = 42,019,843.85/6,426.24
6. Step 6: Final answer
   x = 6,538.79