Finding the Fourth Proportional to 6,425.35, 9,624.56 and 4,084.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,425.35 : 9,624.56 = 4,084.15 : x
2. Step 2: Convert to fraction form
   6,425.35/9,624.56 = 4,084.15/x
3. Step 3: Cross multiply
   6,425.35x = 9,624.56 × 4,084.15
4. Step 4: Simplify right side
   6,425.35x = 39,308,146.72
5. Step 5: Solve for x
   x = 39,308,146.72/6,425.35
6. Step 6: Final answer
   x = 6,117.67