Finding the Fourth Proportional to 1,298.56, 1,792.17 and 826.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.56 : 1,792.17 = 826.54 : x
2. Step 2: Convert to fraction form
   1,298.56/1,792.17 = 826.54/x
3. Step 3: Cross multiply
   1,298.56x = 1,792.17 × 826.54
4. Step 4: Simplify right side
   1,298.56x = 1,481,300.19
5. Step 5: Solve for x
   x = 1,481,300.19/1,298.56
6. Step 6: Final answer
   x = 1,140.73