Finding the Fourth Proportional to 1,016.17, 1,401.28 and 829.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.17 : 1,401.28 = 829.06 : x
2. Step 2: Convert to fraction form
   1,016.17/1,401.28 = 829.06/x
3. Step 3: Cross multiply
   1,016.17x = 1,401.28 × 829.06
4. Step 4: Simplify right side
   1,016.17x = 1,161,738.19
5. Step 5: Solve for x
   x = 1,161,738.19/1,016.17
6. Step 6: Final answer
   x = 1,143.26