Finding the Fourth Proportional to 2,284.34, 3,424.41 and 823.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284.34 : 3,424.41 = 823.16 : x
2. Step 2: Convert to fraction form
   2,284.34/3,424.41 = 823.16/x
3. Step 3: Cross multiply
   2,284.34x = 3,424.41 × 823.16
4. Step 4: Simplify right side
   2,284.34x = 2,818,845.90
5. Step 5: Solve for x
   x = 2,818,845.90/2,284.34
6. Step 6: Final answer
   x = 1,233.99