Finding the Fourth Proportional to 6,874.10, 10,307.70 and 3,364.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,874.10 : 10,307.70 = 3,364.38 : x
2. Step 2: Convert to fraction form
   6,874.10/10,307.70 = 3,364.38/x
3. Step 3: Cross multiply
   6,874.10x = 10,307.70 × 3,364.38
4. Step 4: Simplify right side
   6,874.10x = 34,679,019.73
5. Step 5: Solve for x
   x = 34,679,019.73/6,874.10
6. Step 6: Final answer
   x = 5,044.88