Finding the Fourth Proportional to 9,664.05, 14,495.94 and 3,820.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.05 : 14,495.94 = 3,820.59 : x
2. Step 2: Convert to fraction form
   9,664.05/14,495.94 = 3,820.59/x
3. Step 3: Cross multiply
   9,664.05x = 14,495.94 × 3,820.59
4. Step 4: Simplify right side
   9,664.05x = 55,383,043.40
5. Step 5: Solve for x
   x = 55,383,043.40/9,664.05
6. Step 6: Final answer
   x = 5,730.83