Finding the Fourth Proportional to 6,338.26, 8,742.69 and 3,978.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338.26 : 8,742.69 = 3,978.34 : x
2. Step 2: Convert to fraction form
   6,338.26/8,742.69 = 3,978.34/x
3. Step 3: Cross multiply
   6,338.26x = 8,742.69 × 3,978.34
4. Step 4: Simplify right side
   6,338.26x = 34,781,393.33
5. Step 5: Solve for x
   x = 34,781,393.33/6,338.26
6. Step 6: Final answer
   x = 5,487.53