Finding the Fourth Proportional to 10,493.08, 15,729.72 and 5,223.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.08 : 15,729.72 = 5,223.11 : x
2. Step 2: Convert to fraction form
   10,493.08/15,729.72 = 5,223.11/x
3. Step 3: Cross multiply
   10,493.08x = 15,729.72 × 5,223.11
4. Step 4: Simplify right side
   10,493.08x = 82,157,979.18
5. Step 5: Solve for x
   x = 82,157,979.18/10,493.08
6. Step 6: Final answer
   x = 7,829.73