Finding the Fourth Proportional to 5,945.86, 8,206.65 and 3,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945.86 : 8,206.65 = 3,956.50 : x
2. Step 2: Convert to fraction form
   5,945.86/8,206.65 = 3,956.50/x
3. Step 3: Cross multiply
   5,945.86x = 8,206.65 × 3,956.50
4. Step 4: Simplify right side
   5,945.86x = 32,469,610.73
5. Step 5: Solve for x
   x = 32,469,610.73/5,945.86
6. Step 6: Final answer
   x = 5,460.88