Finding the Fourth Proportional to 1,413.77, 2,117.58 and 864.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.77 : 2,117.58 = 864.28 : x
2. Step 2: Convert to fraction form
   1,413.77/2,117.58 = 864.28/x
3. Step 3: Cross multiply
   1,413.77x = 2,117.58 × 864.28
4. Step 4: Simplify right side
   1,413.77x = 1,830,181.45
5. Step 5: Solve for x
   x = 1,830,181.45/1,413.77
6. Step 6: Final answer
   x = 1,294.54