Finding the Fourth Proportional to 6,814.16, 10,211.78 and 3,107.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.16 : 10,211.78 = 3,107.34 : x
2. Step 2: Convert to fraction form
   6,814.16/10,211.78 = 3,107.34/x
3. Step 3: Cross multiply
   6,814.16x = 10,211.78 × 3,107.34
4. Step 4: Simplify right side
   6,814.16x = 31,731,472.47
5. Step 5: Solve for x
   x = 31,731,472.47/6,814.16
6. Step 6: Final answer
   x = 4,656.70