Finding the Fourth Proportional to 9,665.60, 14,499.27 and 3,820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.60 : 14,499.27 = 3,820.82 : x
2. Step 2: Convert to fraction form
   9,665.60/14,499.27 = 3,820.82/x
3. Step 3: Cross multiply
   9,665.60x = 14,499.27 × 3,820.82
4. Step 4: Simplify right side
   9,665.60x = 55,399,028.31
5. Step 5: Solve for x
   x = 55,399,028.31/9,665.60
6. Step 6: Final answer
   x = 5,731.57