Finding the Fourth Proportional to 10,216.33, 15,299.89 and 5,820.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.33 : 15,299.89 = 5,820.46 : x
2. Step 2: Convert to fraction form
   10,216.33/15,299.89 = 5,820.46/x
3. Step 3: Cross multiply
   10,216.33x = 15,299.89 × 5,820.46
4. Step 4: Simplify right side
   10,216.33x = 89,052,344.95
5. Step 5: Solve for x
   x = 89,052,344.95/10,216.33
6. Step 6: Final answer
   x = 8,716.67