Finding the Fourth Proportional to 6,978, 10,462.68 and 3,280.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 10,462.68 = 3,280.98 : x
2. Step 2: Convert to fraction form
   6,978/10,462.68 = 3,280.98/x
3. Step 3: Cross multiply
   6,978x = 10,462.68 × 3,280.98
4. Step 4: Simplify right side
   6,978x = 34,327,843.83
5. Step 5: Solve for x
   x = 34,327,843.83/6,978
6. Step 6: Final answer
   x = 4,919.44