Finding the Fourth Proportional to 3,978, 5,968.56 and 1,513.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978 : 5,968.56 = 1,513.47 : x
2. Step 2: Convert to fraction form
   3,978/5,968.56 = 1,513.47/x
3. Step 3: Cross multiply
   3,978x = 5,968.56 × 1,513.47
4. Step 4: Simplify right side
   3,978x = 9,033,236.50
5. Step 5: Solve for x
   x = 9,033,236.50/3,978
6. Step 6: Final answer
   x = 2,270.80