Finding the Fourth Proportional to 6,874.38, 10,309.32 and 2,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,874.38 : 10,309.32 = 2,978.10 : x
2. Step 2: Convert to fraction form
   6,874.38/10,309.32 = 2,978.10/x
3. Step 3: Cross multiply
   6,874.38x = 10,309.32 × 2,978.10
4. Step 4: Simplify right side
   6,874.38x = 30,702,185.89
5. Step 5: Solve for x
   x = 30,702,185.89/6,874.38
6. Step 6: Final answer
   x = 4,466.18