Finding the Fourth Proportional to 1,026.05, 1,413.81 and 914.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.05 : 1,413.81 = 914.33 : x
2. Step 2: Convert to fraction form
   1,026.05/1,413.81 = 914.33/x
3. Step 3: Cross multiply
   1,026.05x = 1,413.81 × 914.33
4. Step 4: Simplify right side
   1,026.05x = 1,292,692.43
5. Step 5: Solve for x
   x = 1,292,692.43/1,026.05
6. Step 6: Final answer
   x = 1,259.88