Finding the Fourth Proportional to 9,643.25, 14,461.12 and 4,096.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.25 : 14,461.12 = 4,096.82 : x
2. Step 2: Convert to fraction form
   9,643.25/14,461.12 = 4,096.82/x
3. Step 3: Cross multiply
   9,643.25x = 14,461.12 × 4,096.82
4. Step 4: Simplify right side
   9,643.25x = 59,244,605.64
5. Step 5: Solve for x
   x = 59,244,605.64/9,643.25
6. Step 6: Final answer
   x = 6,143.63