Finding the Fourth Proportional to 1,446.89, 1,996.59 and 825.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.89 : 1,996.59 = 825.89 : x
2. Step 2: Convert to fraction form
   1,446.89/1,996.59 = 825.89/x
3. Step 3: Cross multiply
   1,446.89x = 1,996.59 × 825.89
4. Step 4: Simplify right side
   1,446.89x = 1,648,959.59
5. Step 5: Solve for x
   x = 1,648,959.59/1,446.89
6. Step 6: Final answer
   x = 1,139.66