Finding the Fourth Proportional to 2,665.14, 3,997.83 and 816.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.14 : 3,997.83 = 816.12 : x
2. Step 2: Convert to fraction form
   2,665.14/3,997.83 = 816.12/x
3. Step 3: Cross multiply
   2,665.14x = 3,997.83 × 816.12
4. Step 4: Simplify right side
   2,665.14x = 3,262,709.02
5. Step 5: Solve for x
   x = 3,262,709.02/2,665.14
6. Step 6: Final answer
   x = 1,224.22