Finding the Fourth Proportional to 6,978.54, 10,462.74 and 3,278.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.54 : 10,462.74 = 3,278.88 : x
2. Step 2: Convert to fraction form
   6,978.54/10,462.74 = 3,278.88/x
3. Step 3: Cross multiply
   6,978.54x = 10,462.74 × 3,278.88
4. Step 4: Simplify right side
   6,978.54x = 34,306,068.93
5. Step 5: Solve for x
   x = 34,306,068.93/6,978.54
6. Step 6: Final answer
   x = 4,915.94