Finding the Fourth Proportional to 1,601.75, 2,404.12 and 822.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.75 : 2,404.12 = 822.32 : x
2. Step 2: Convert to fraction form
   1,601.75/2,404.12 = 822.32/x
3. Step 3: Cross multiply
   1,601.75x = 2,404.12 × 822.32
4. Step 4: Simplify right side
   1,601.75x = 1,976,955.96
5. Step 5: Solve for x
   x = 1,976,955.96/1,601.75
6. Step 6: Final answer
   x = 1,234.25