Finding the Fourth Proportional to 6,706.49, 9,256.06 and 3,723.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,706.49 : 9,256.06 = 3,723.29 : x
2. Step 2: Convert to fraction form
   6,706.49/9,256.06 = 3,723.29/x
3. Step 3: Cross multiply
   6,706.49x = 9,256.06 × 3,723.29
4. Step 4: Simplify right side
   6,706.49x = 34,462,986.33
5. Step 5: Solve for x
   x = 34,462,986.33/6,706.49
6. Step 6: Final answer
   x = 5,138.75