Finding the Fourth Proportional to 10,216.42, 15,313.74 and 5,824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.42 : 15,313.74 = 5,824.42 : x
2. Step 2: Convert to fraction form
   10,216.42/15,313.74 = 5,824.42/x
3. Step 3: Cross multiply
   10,216.42x = 15,313.74 × 5,824.42
4. Step 4: Simplify right side
   10,216.42x = 89,193,653.53
5. Step 5: Solve for x
   x = 89,193,653.53/10,216.42
6. Step 6: Final answer
   x = 8,730.42