Finding the Fourth Proportional to 6,824.48, 10,217.71 and 3,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824.48 : 10,217.71 = 3,485.50 : x
2. Step 2: Convert to fraction form
   6,824.48/10,217.71 = 3,485.50/x
3. Step 3: Cross multiply
   6,824.48x = 10,217.71 × 3,485.50
4. Step 4: Simplify right side
   6,824.48x = 35,613,793.95
5. Step 5: Solve for x
   x = 35,613,793.95/6,824.48
6. Step 6: Final answer
   x = 5,218.54