Finding the Fourth Proportional to 3,882.29, 5,814.12 and 3,415.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.29 : 5,814.12 = 3,415.33 : x
2. Step 2: Convert to fraction form
   3,882.29/5,814.12 = 3,415.33/x
3. Step 3: Cross multiply
   3,882.29x = 5,814.12 × 3,415.33
4. Step 4: Simplify right side
   3,882.29x = 19,857,109.39
5. Step 5: Solve for x
   x = 19,857,109.39/3,882.29
6. Step 6: Final answer
   x = 5,114.79