Finding the Fourth Proportional to 2,072.46, 3,109.05 and 822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.46 : 3,109.05 = 822.69 : x
2. Step 2: Convert to fraction form
   2,072.46/3,109.05 = 822.69/x
3. Step 3: Cross multiply
   2,072.46x = 3,109.05 × 822.69
4. Step 4: Simplify right side
   2,072.46x = 2,557,784.34
5. Step 5: Solve for x
   x = 2,557,784.34/2,072.46
6. Step 6: Final answer
   x = 1,234.18