Finding the Fourth Proportional to 10,493.88, 15,733.72 and 5,222.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.88 : 15,733.72 = 5,222.20 : x
2. Step 2: Convert to fraction form
   10,493.88/15,733.72 = 5,222.20/x
3. Step 3: Cross multiply
   10,493.88x = 15,733.72 × 5,222.20
4. Step 4: Simplify right side
   10,493.88x = 82,164,632.58
5. Step 5: Solve for x
   x = 82,164,632.58/10,493.88
6. Step 6: Final answer
   x = 7,829.77