Finding the Fourth Proportional to 9,665.55, 14,498.19 and 3,822.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.55 : 14,498.19 = 3,822.09 : x
2. Step 2: Convert to fraction form
   9,665.55/14,498.19 = 3,822.09/x
3. Step 3: Cross multiply
   9,665.55x = 14,498.19 × 3,822.09
4. Step 4: Simplify right side
   9,665.55x = 55,413,387.02
5. Step 5: Solve for x
   x = 55,413,387.02/9,665.55
6. Step 6: Final answer
   x = 5,733.08