Finding the Fourth Proportional to 5,976.89, 8,968.42 and 2,689.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,976.89 : 8,968.42 = 2,689.30 : x
2. Step 2: Convert to fraction form
   5,976.89/8,968.42 = 2,689.30/x
3. Step 3: Cross multiply
   5,976.89x = 8,968.42 × 2,689.30
4. Step 4: Simplify right side
   5,976.89x = 24,118,786.48
5. Step 5: Solve for x
   x = 24,118,786.48/5,976.89
6. Step 6: Final answer
   x = 4,035.34