Finding the Fourth Proportional to 5,949.57, 8,207.82 and 4,182.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,949.57 : 8,207.82 = 4,182.33 : x
2. Step 2: Convert to fraction form
   5,949.57/8,207.82 = 4,182.33/x
3. Step 3: Cross multiply
   5,949.57x = 8,207.82 × 4,182.33
4. Step 4: Simplify right side
   5,949.57x = 34,327,811.82
5. Step 5: Solve for x
   x = 34,327,811.82/5,949.57
6. Step 6: Final answer
   x = 5,769.80