Finding the Fourth Proportional to 1,022.83, 1,413.05 and 826.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.83 : 1,413.05 = 826.00 : x
2. Step 2: Convert to fraction form
   1,022.83/1,413.05 = 826.00/x
3. Step 3: Cross multiply
   1,022.83x = 1,413.05 × 826.00
4. Step 4: Simplify right side
   1,022.83x = 1,167,171.64
5. Step 5: Solve for x
   x = 1,167,171.64/1,022.83
6. Step 6: Final answer
   x = 1,141.12