Finding the Fourth Proportional to 6,706.84, 10,046.82 and 3,200.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,706.84 : 10,046.82 = 3,200.24 : x
2. Step 2: Convert to fraction form
   6,706.84/10,046.82 = 3,200.24/x
3. Step 3: Cross multiply
   6,706.84x = 10,046.82 × 3,200.24
4. Step 4: Simplify right side
   6,706.84x = 32,152,235.24
5. Step 5: Solve for x
   x = 32,152,235.24/6,706.84
6. Step 6: Final answer
   x = 4,793.95