Finding the Fourth Proportional to 6,407.37, 9,598.59 and 4,209.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,407.37 : 9,598.59 = 4,209.42 : x
2. Step 2: Convert to fraction form
   6,407.37/9,598.59 = 4,209.42/x
3. Step 3: Cross multiply
   6,407.37x = 9,598.59 × 4,209.42
4. Step 4: Simplify right side
   6,407.37x = 40,404,496.72
5. Step 5: Solve for x
   x = 40,404,496.72/6,407.37
6. Step 6: Final answer
   x = 6,305.94