Finding the Fourth Proportional to 7,680.50, 10,596.04 and 5,164.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,680.50 : 10,596.04 = 5,164.24 : x
2. Step 2: Convert to fraction form
   7,680.50/10,596.04 = 5,164.24/x
3. Step 3: Cross multiply
   7,680.50x = 10,596.04 × 5,164.24
4. Step 4: Simplify right side
   7,680.50x = 54,720,493.61
5. Step 5: Solve for x
   x = 54,720,493.61/7,680.50
6. Step 6: Final answer
   x = 7,124.60