Finding the Fourth Proportional to 5,976.86, 8,964.10 and 5,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,976.86 : 8,964.10 = 5,680.50 : x
2. Step 2: Convert to fraction form
   5,976.86/8,964.10 = 5,680.50/x
3. Step 3: Cross multiply
   5,976.86x = 8,964.10 × 5,680.50
4. Step 4: Simplify right side
   5,976.86x = 50,920,543.54
5. Step 5: Solve for x
   x = 50,920,543.54/5,976.86
6. Step 6: Final answer
   x = 8,519.62