Finding the Fourth Proportional to 1,446.66, 1,996.09 and 825.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.66 : 1,996.09 = 825.86 : x
2. Step 2: Convert to fraction form
   1,446.66/1,996.09 = 825.86/x
3. Step 3: Cross multiply
   1,446.66x = 1,996.09 × 825.86
4. Step 4: Simplify right side
   1,446.66x = 1,648,490.89
5. Step 5: Solve for x
   x = 1,648,490.89/1,446.66
6. Step 6: Final answer
   x = 1,139.52