Finding the Fourth Proportional to 2,120.45, 3,181.59 and 822.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,120.45 : 3,181.59 = 822.83 : x
2. Step 2: Convert to fraction form
   2,120.45/3,181.59 = 822.83/x
3. Step 3: Cross multiply
   2,120.45x = 3,181.59 × 822.83
4. Step 4: Simplify right side
   2,120.45x = 2,617,915.65
5. Step 5: Solve for x
   x = 2,617,915.65/2,120.45
6. Step 6: Final answer
   x = 1,234.60