Finding the Fourth Proportional to 9,665.36, 14,499.86 and 3,822.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.36 : 14,499.86 = 3,822.02 : x
2. Step 2: Convert to fraction form
   9,665.36/14,499.86 = 3,822.02/x
3. Step 3: Cross multiply
   9,665.36x = 14,499.86 × 3,822.02
4. Step 4: Simplify right side
   9,665.36x = 55,418,754.92
5. Step 5: Solve for x
   x = 55,418,754.92/9,665.36
6. Step 6: Final answer
   x = 5,733.75