Finding the Fourth Proportional to 1,447.82, 1,997.55 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.82 : 1,997.55 = 826.82 : x
2. Step 2: Convert to fraction form
   1,447.82/1,997.55 = 826.82/x
3. Step 3: Cross multiply
   1,447.82x = 1,997.55 × 826.82
4. Step 4: Simplify right side
   1,447.82x = 1,651,614.29
5. Step 5: Solve for x
   x = 1,651,614.29/1,447.82
6. Step 6: Final answer
   x = 1,140.76