Finding the Fourth Proportional to 10,214.42, 15,310.73 and 5,822.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.42 : 15,310.73 = 5,822.42 : x
2. Step 2: Convert to fraction form
   10,214.42/15,310.73 = 5,822.42/x
3. Step 3: Cross multiply
   10,214.42x = 15,310.73 × 5,822.42
4. Step 4: Simplify right side
   10,214.42x = 89,145,438.57
5. Step 5: Solve for x
   x = 89,145,438.57/10,214.42
6. Step 6: Final answer
   x = 8,727.41