Finding the Fourth Proportional to 2,467.16, 3,699.84 and 823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.16 : 3,699.84 = 823.34 : x
2. Step 2: Convert to fraction form
   2,467.16/3,699.84 = 823.34/x
3. Step 3: Cross multiply
   2,467.16x = 3,699.84 × 823.34
4. Step 4: Simplify right side
   2,467.16x = 3,046,226.27
5. Step 5: Solve for x
   x = 3,046,226.27/2,467.16
6. Step 6: Final answer
   x = 1,234.71