Finding the Fourth Proportional to 6,914.16, 9,540.89 and 3,929.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,914.16 : 9,540.89 = 3,929.82 : x
2. Step 2: Convert to fraction form
   6,914.16/9,540.89 = 3,929.82/x
3. Step 3: Cross multiply
   6,914.16x = 9,540.89 × 3,929.82
4. Step 4: Simplify right side
   6,914.16x = 37,493,939.65
5. Step 5: Solve for x
   x = 37,493,939.65/6,914.16
6. Step 6: Final answer
   x = 5,422.78