Finding the Fourth Proportional to 10,164.15, 14,026.82 and 5,687.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.15 : 14,026.82 = 5,687.79 : x
2. Step 2: Convert to fraction form
   10,164.15/14,026.82 = 5,687.79/x
3. Step 3: Cross multiply
   10,164.15x = 14,026.82 × 5,687.79
4. Step 4: Simplify right side
   10,164.15x = 79,781,578.09
5. Step 5: Solve for x
   x = 79,781,578.09/10,164.15
6. Step 6: Final answer
   x = 7,849.31