Finding the Fourth Proportional to 5,978.64, 8,968.27 and 2,280.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.64 : 8,968.27 = 2,280.18 : x
2. Step 2: Convert to fraction form
   5,978.64/8,968.27 = 2,280.18/x
3. Step 3: Cross multiply
   5,978.64x = 8,968.27 × 2,280.18
4. Step 4: Simplify right side
   5,978.64x = 20,449,269.89
5. Step 5: Solve for x
   x = 20,449,269.89/5,978.64
6. Step 6: Final answer
   x = 3,420.39