Finding the Fourth Proportional to 1,447.42, 1,997.40 and 826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.42 : 1,997.40 = 826.42 : x
2. Step 2: Convert to fraction form
   1,447.42/1,997.40 = 826.42/x
3. Step 3: Cross multiply
   1,447.42x = 1,997.40 × 826.42
4. Step 4: Simplify right side
   1,447.42x = 1,650,691.31
5. Step 5: Solve for x
   x = 1,650,691.31/1,447.42
6. Step 6: Final answer
   x = 1,140.44