Finding the Fourth Proportional to 6,683.69, 10,019.90 and 4,213.07

Step by Step Solution

1. Step 1: Write the proportion equation
   6,683.69 : 10,019.90 = 4,213.07 : x
2. Step 2: Convert to fraction form
   6,683.69/10,019.90 = 4,213.07/x
3. Step 3: Cross multiply
   6,683.69x = 10,019.90 × 4,213.07
4. Step 4: Simplify right side
   6,683.69x = 42,214,519.31
5. Step 5: Solve for x
   x = 42,214,519.31/6,683.69
6. Step 6: Final answer
   x = 6,316.05