Finding the Fourth Proportional to 9,664.90, 14,499.58 and 3,821.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.90 : 14,499.58 = 3,821.56 : x
2. Step 2: Convert to fraction form
   9,664.90/14,499.58 = 3,821.56/x
3. Step 3: Cross multiply
   9,664.90x = 14,499.58 × 3,821.56
4. Step 4: Simplify right side
   9,664.90x = 55,411,014.94
5. Step 5: Solve for x
   x = 55,411,014.94/9,664.90
6. Step 6: Final answer
   x = 5,733.22