Finding the Fourth Proportional to 1,447.50, 1,997.55 and 826.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.50 : 1,997.55 = 826.62 : x
2. Step 2: Convert to fraction form
   1,447.50/1,997.55 = 826.62/x
3. Step 3: Cross multiply
   1,447.50x = 1,997.55 × 826.62
4. Step 4: Simplify right side
   1,447.50x = 1,651,214.78
5. Step 5: Solve for x
   x = 1,651,214.78/1,447.50
6. Step 6: Final answer
   x = 1,140.74