Finding the Fourth Proportional to 14,446.50, 19,936.17 and 7,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,446.50 : 19,936.17 = 7,822.50 : x
2. Step 2: Convert to fraction form
   14,446.50/19,936.17 = 7,822.50/x
3. Step 3: Cross multiply
   14,446.50x = 19,936.17 × 7,822.50
4. Step 4: Simplify right side
   14,446.50x = 155,950,689.83
5. Step 5: Solve for x
   x = 155,950,689.83/14,446.50
6. Step 6: Final answer
   x = 10,795.05