Finding the Fourth Proportional to 7,001.56, 9,662.39 and 3,857.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,001.56 : 9,662.39 = 3,857.82 : x
2. Step 2: Convert to fraction form
   7,001.56/9,662.39 = 3,857.82/x
3. Step 3: Cross multiply
   7,001.56x = 9,662.39 × 3,857.82
4. Step 4: Simplify right side
   7,001.56x = 37,275,693.79
5. Step 5: Solve for x
   x = 37,275,693.79/7,001.56
6. Step 6: Final answer
   x = 5,323.91