Finding the Fourth Proportional to 10,684.50, 14,747.82 and 6,705.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.50 : 14,747.82 = 6,705.54 : x
2. Step 2: Convert to fraction form
   10,684.50/14,747.82 = 6,705.54/x
3. Step 3: Cross multiply
   10,684.50x = 14,747.82 × 6,705.54
4. Step 4: Simplify right side
   10,684.50x = 98,892,096.92
5. Step 5: Solve for x
   x = 98,892,096.92/10,684.50
6. Step 6: Final answer
   x = 9,255.66