Finding the Fourth Proportional to 6,426.18, 9,640.89 and 6,316.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426.18 : 9,640.89 = 6,316.02 : x
2. Step 2: Convert to fraction form
   6,426.18/9,640.89 = 6,316.02/x
3. Step 3: Cross multiply
   6,426.18x = 9,640.89 × 6,316.02
4. Step 4: Simplify right side
   6,426.18x = 60,892,054.06
5. Step 5: Solve for x
   x = 60,892,054.06/6,426.18
6. Step 6: Final answer
   x = 9,475.62