Finding the Fourth Proportional to 1,447.59, 1,997.69 and 826.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.59 : 1,997.69 = 826.59 : x
2. Step 2: Convert to fraction form
   1,447.59/1,997.69 = 826.59/x
3. Step 3: Cross multiply
   1,447.59x = 1,997.69 × 826.59
4. Step 4: Simplify right side
   1,447.59x = 1,651,273.94
5. Step 5: Solve for x
   x = 1,651,273.94/1,447.59
6. Step 6: Final answer
   x = 1,140.70