Finding the Fourth Proportional to 6,814.32, 10,223.25 and 3,114.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.32 : 10,223.25 = 3,114.78 : x
2. Step 2: Convert to fraction form
   6,814.32/10,223.25 = 3,114.78/x
3. Step 3: Cross multiply
   6,814.32x = 10,223.25 × 3,114.78
4. Step 4: Simplify right side
   6,814.32x = 31,843,174.64
5. Step 5: Solve for x
   x = 31,843,174.64/6,814.32
6. Step 6: Final answer
   x = 4,672.98