Finding the Fourth Proportional to 1,447.04, 1,996.96 and 826.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.04 : 1,996.96 = 826.24 : x
2. Step 2: Convert to fraction form
   1,447.04/1,996.96 = 826.24/x
3. Step 3: Cross multiply
   1,447.04x = 1,996.96 × 826.24
4. Step 4: Simplify right side
   1,447.04x = 1,649,968.23
5. Step 5: Solve for x
   x = 1,649,968.23/1,447.04
6. Step 6: Final answer
   x = 1,140.24