Finding the Fourth Proportional to 1,413.72, 2,117.16 and 762.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.72 : 2,117.16 = 762.84 : x
2. Step 2: Convert to fraction form
   1,413.72/2,117.16 = 762.84/x
3. Step 3: Cross multiply
   1,413.72x = 2,117.16 × 762.84
4. Step 4: Simplify right side
   1,413.72x = 1,615,054.33
5. Step 5: Solve for x
   x = 1,615,054.33/1,413.72
6. Step 6: Final answer
   x = 1,142.41