Finding the Fourth Proportional to 10,825.56, 16,227.54 and 5,192.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825.56 : 16,227.54 = 5,192.82 : x
2. Step 2: Convert to fraction form
   10,825.56/16,227.54 = 5,192.82/x
3. Step 3: Cross multiply
   10,825.56x = 16,227.54 × 5,192.82
4. Step 4: Simplify right side
   10,825.56x = 84,266,694.26
5. Step 5: Solve for x
   x = 84,266,694.26/10,825.56
6. Step 6: Final answer
   x = 7,784.05