Finding the Fourth Proportional to 6,984.19, 9,638.15 and 3,840.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,984.19 : 9,638.15 = 3,840.31 : x
2. Step 2: Convert to fraction form
   6,984.19/9,638.15 = 3,840.31/x
3. Step 3: Cross multiply
   6,984.19x = 9,638.15 × 3,840.31
4. Step 4: Simplify right side
   6,984.19x = 37,013,483.83
5. Step 5: Solve for x
   x = 37,013,483.83/6,984.19
6. Step 6: Final answer
   x = 5,299.61