Finding the Fourth Proportional to 10,274, 15,413.56 and 2,978

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274 : 15,413.56 = 2,978 : x
2. Step 2: Convert to fraction form
   10,274/15,413.56 = 2,978/x
3. Step 3: Cross multiply
   10,274x = 15,413.56 × 2,978
4. Step 4: Simplify right side
   10,274x = 45,901,581.68
5. Step 5: Solve for x
   x = 45,901,581.68/10,274
6. Step 6: Final answer
   x = 4,467.74