Finding the Fourth Proportional to 1,025.67, 1,413.74 and 775.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.67 : 1,413.74 = 775.83 : x
2. Step 2: Convert to fraction form
   1,025.67/1,413.74 = 775.83/x
3. Step 3: Cross multiply
   1,025.67x = 1,413.74 × 775.83
4. Step 4: Simplify right side
   1,025.67x = 1,096,818.03
5. Step 5: Solve for x
   x = 1,096,818.03/1,025.67
6. Step 6: Final answer
   x = 1,069.37