Finding the Fourth Proportional to 6,984.56, 9,638.79 and 3,840.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,984.56 : 9,638.79 = 3,840.82 : x
2. Step 2: Convert to fraction form
   6,984.56/9,638.79 = 3,840.82/x
3. Step 3: Cross multiply
   6,984.56x = 9,638.79 × 3,840.82
4. Step 4: Simplify right side
   6,984.56x = 37,020,857.41
5. Step 5: Solve for x
   x = 37,020,857.41/6,984.56
6. Step 6: Final answer
   x = 5,300.39