Finding the Fourth Proportional to 6,345.02, 9,496.82 and 5,738.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,345.02 : 9,496.82 = 5,738.78 : x
2. Step 2: Convert to fraction form
   6,345.02/9,496.82 = 5,738.78/x
3. Step 3: Cross multiply
   6,345.02x = 9,496.82 × 5,738.78
4. Step 4: Simplify right side
   6,345.02x = 54,500,127.54
5. Step 5: Solve for x
   x = 54,500,127.54/6,345.02
6. Step 6: Final answer
   x = 8,589.44