Finding the Fourth Proportional to 2,467.47, 3,699.82 and 823.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.47 : 3,699.82 = 823.14 : x
2. Step 2: Convert to fraction form
   2,467.47/3,699.82 = 823.14/x
3. Step 3: Cross multiply
   2,467.47x = 3,699.82 × 823.14
4. Step 4: Simplify right side
   2,467.47x = 3,045,467.78
5. Step 5: Solve for x
   x = 3,045,467.78/2,467.47
6. Step 6: Final answer
   x = 1,234.25