Finding the Fourth Proportional to 6,978.69, 10,468.17 and 3,278.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.69 : 10,468.17 = 3,278.88 : x
2. Step 2: Convert to fraction form
   6,978.69/10,468.17 = 3,278.88/x
3. Step 3: Cross multiply
   6,978.69x = 10,468.17 × 3,278.88
4. Step 4: Simplify right side
   6,978.69x = 34,323,873.25
5. Step 5: Solve for x
   x = 34,323,873.25/6,978.69
6. Step 6: Final answer
   x = 4,918.38