Finding the Fourth Proportional to 9,768.08, 14,636.10 and 4,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.08 : 14,636.10 = 4,141.25 : x
2. Step 2: Convert to fraction form
   9,768.08/14,636.10 = 4,141.25/x
3. Step 3: Cross multiply
   9,768.08x = 14,636.10 × 4,141.25
4. Step 4: Simplify right side
   9,768.08x = 60,611,828.69
5. Step 5: Solve for x
   x = 60,611,828.69/9,768.08
6. Step 6: Final answer
   x = 6,205.09