Finding the Fourth Proportional to 6,984.72, 9,638.64 and 3,840.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,984.72 : 9,638.64 = 3,840.88 : x
2. Step 2: Convert to fraction form
   6,984.72/9,638.64 = 3,840.88/x
3. Step 3: Cross multiply
   6,984.72x = 9,638.64 × 3,840.88
4. Step 4: Simplify right side
   6,984.72x = 37,020,859.60
5. Step 5: Solve for x
   x = 37,020,859.60/6,984.72
6. Step 6: Final answer
   x = 5,300.26