Finding the Fourth Proportional to 5,932.69, 8,185.96 and 3,414.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,932.69 : 8,185.96 = 3,414.91 : x
2. Step 2: Convert to fraction form
   5,932.69/8,185.96 = 3,414.91/x
3. Step 3: Cross multiply
   5,932.69x = 8,185.96 × 3,414.91
4. Step 4: Simplify right side
   5,932.69x = 27,954,315.82
5. Step 5: Solve for x
   x = 27,954,315.82/5,932.69
6. Step 6: Final answer
   x = 4,711.91