Finding the Fourth Proportional to 1,447.34, 1,997.43 and 826.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.34 : 1,997.43 = 826.34 : x
2. Step 2: Convert to fraction form
   1,447.34/1,997.43 = 826.34/x
3. Step 3: Cross multiply
   1,447.34x = 1,997.43 × 826.34
4. Step 4: Simplify right side
   1,447.34x = 1,650,556.31
5. Step 5: Solve for x
   x = 1,650,556.31/1,447.34
6. Step 6: Final answer
   x = 1,140.41