Finding the Fourth Proportional to 10,824.28, 16,224.54 and 7,071.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.28 : 16,224.54 = 7,071.43 : x
2. Step 2: Convert to fraction form
   10,824.28/16,224.54 = 7,071.43/x
3. Step 3: Cross multiply
   10,824.28x = 16,224.54 × 7,071.43
4. Step 4: Simplify right side
   10,824.28x = 114,730,698.89
5. Step 5: Solve for x
   x = 114,730,698.89/10,824.28
6. Step 6: Final answer
   x = 10,599.38