Finding the Fourth Proportional to 1,447.60, 1,997.48 and 826.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.60 : 1,997.48 = 826.56 : x
2. Step 2: Convert to fraction form
   1,447.60/1,997.48 = 826.56/x
3. Step 3: Cross multiply
   1,447.60x = 1,997.48 × 826.56
4. Step 4: Simplify right side
   1,447.60x = 1,651,037.07
5. Step 5: Solve for x
   x = 1,651,037.07/1,447.60
6. Step 6: Final answer
   x = 1,140.53