Finding the Fourth Proportional to 7,729.84, 10,665.38 and 5,216.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,729.84 : 10,665.38 = 5,216.61 : x
2. Step 2: Convert to fraction form
   7,729.84/10,665.38 = 5,216.61/x
3. Step 3: Cross multiply
   7,729.84x = 10,665.38 × 5,216.61
4. Step 4: Simplify right side
   7,729.84x = 55,637,101.88
5. Step 5: Solve for x
   x = 55,637,101.88/7,729.84
6. Step 6: Final answer
   x = 7,197.71