Finding the Fourth Proportional to 6,777.31, 10,116.33 and 5,978.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,777.31 : 10,116.33 = 5,978.38 : x
2. Step 2: Convert to fraction form
   6,777.31/10,116.33 = 5,978.38/x
3. Step 3: Cross multiply
   6,777.31x = 10,116.33 × 5,978.38
4. Step 4: Simplify right side
   6,777.31x = 60,479,264.95
5. Step 5: Solve for x
   x = 60,479,264.95/6,777.31
6. Step 6: Final answer
   x = 8,923.79