Finding the Fourth Proportional to 6,984.50, 9,638.88 and 3,840.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,984.50 : 9,638.88 = 3,840.62 : x
2. Step 2: Convert to fraction form
   6,984.50/9,638.88 = 3,840.62/x
3. Step 3: Cross multiply
   6,984.50x = 9,638.88 × 3,840.62
4. Step 4: Simplify right side
   6,984.50x = 37,019,275.31
5. Step 5: Solve for x
   x = 37,019,275.31/6,984.50
6. Step 6: Final answer
   x = 5,300.20