Finding the Fourth Proportional to 5,279.50, 7,920.06 and 3,829.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,279.50 : 7,920.06 = 3,829.60 : x
2. Step 2: Convert to fraction form
   5,279.50/7,920.06 = 3,829.60/x
3. Step 3: Cross multiply
   5,279.50x = 7,920.06 × 3,829.60
4. Step 4: Simplify right side
   5,279.50x = 30,330,661.78
5. Step 5: Solve for x
   x = 30,330,661.78/5,279.50
6. Step 6: Final answer
   x = 5,744.99