Finding the Fourth Proportional to 10,164.24, 14,026.56 and 5,687.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.24 : 14,026.56 = 5,687.94 : x
2. Step 2: Convert to fraction form
   10,164.24/14,026.56 = 5,687.94/x
3. Step 3: Cross multiply
   10,164.24x = 14,026.56 × 5,687.94
4. Step 4: Simplify right side
   10,164.24x = 79,782,231.69
5. Step 5: Solve for x
   x = 79,782,231.69/10,164.24
6. Step 6: Final answer
   x = 7,849.31