Finding the Fourth Proportional to 6,282.26, 9,410.82 and 3,782.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,282.26 : 9,410.82 = 3,782.06 : x
2. Step 2: Convert to fraction form
   6,282.26/9,410.82 = 3,782.06/x
3. Step 3: Cross multiply
   6,282.26x = 9,410.82 × 3,782.06
4. Step 4: Simplify right side
   6,282.26x = 35,592,285.89
5. Step 5: Solve for x
   x = 35,592,285.89/6,282.26
6. Step 6: Final answer
   x = 5,665.52