Finding the Fourth Proportional to 6,776.31, 10,114.83 and 5,977.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,776.31 : 10,114.83 = 5,977.38 : x
2. Step 2: Convert to fraction form
   6,776.31/10,114.83 = 5,977.38/x
3. Step 3: Cross multiply
   6,776.31x = 10,114.83 × 5,977.38
4. Step 4: Simplify right side
   6,776.31x = 60,460,180.39
5. Step 5: Solve for x
   x = 60,460,180.39/6,776.31
6. Step 6: Final answer
   x = 8,922.29