Finding the Fourth Proportional to 14,222.82, 19,627.34 and 7,849.47

Step by Step Solution

1. Step 1: Write the proportion equation
   14,222.82 : 19,627.34 = 7,849.47 : x
2. Step 2: Convert to fraction form
   14,222.82/19,627.34 = 7,849.47/x
3. Step 3: Cross multiply
   14,222.82x = 19,627.34 × 7,849.47
4. Step 4: Simplify right side
   14,222.82x = 154,064,118.37
5. Step 5: Solve for x
   x = 154,064,118.37/14,222.82
6. Step 6: Final answer
   x = 10,832.18