Finding the Fourth Proportional to 7,730.09, 10,665.72 and 5,216.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,730.09 : 10,665.72 = 5,216.86 : x
2. Step 2: Convert to fraction form
   7,730.09/10,665.72 = 5,216.86/x
3. Step 3: Cross multiply
   7,730.09x = 10,665.72 × 5,216.86
4. Step 4: Simplify right side
   7,730.09x = 55,641,568.04
5. Step 5: Solve for x
   x = 55,641,568.04/7,730.09
6. Step 6: Final answer
   x = 7,198.05