Finding the Fourth Proportional to 1,601.78, 2,404.16 and 822.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.78 : 2,404.16 = 822.34 : x
2. Step 2: Convert to fraction form
   1,601.78/2,404.16 = 822.34/x
3. Step 3: Cross multiply
   1,601.78x = 2,404.16 × 822.34
4. Step 4: Simplify right side
   1,601.78x = 1,977,036.93
5. Step 5: Solve for x
   x = 1,977,036.93/1,601.78
6. Step 6: Final answer
   x = 1,234.27