Finding the Fourth Proportional to 2,120.96, 3,182.34 and 823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,120.96 : 3,182.34 = 823.34 : x
2. Step 2: Convert to fraction form
   2,120.96/3,182.34 = 823.34/x
3. Step 3: Cross multiply
   2,120.96x = 3,182.34 × 823.34
4. Step 4: Simplify right side
   2,120.96x = 2,620,147.82
5. Step 5: Solve for x
   x = 2,620,147.82/2,120.96
6. Step 6: Final answer
   x = 1,235.36