Finding the Fourth Proportional to 6,096.25, 8,412.83 and 3,301.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.25 : 8,412.83 = 3,301.75 : x
2. Step 2: Convert to fraction form
   6,096.25/8,412.83 = 3,301.75/x
3. Step 3: Cross multiply
   6,096.25x = 8,412.83 × 3,301.75
4. Step 4: Simplify right side
   6,096.25x = 27,777,044.94
5. Step 5: Solve for x
   x = 27,777,044.94/6,096.25
6. Step 6: Final answer
   x = 4,556.42