Finding the Fourth Proportional to 10,164.72, 14,027.57 and 5,688.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.72 : 14,027.57 = 5,688.44 : x
2. Step 2: Convert to fraction form
   10,164.72/14,027.57 = 5,688.44/x
3. Step 3: Cross multiply
   10,164.72x = 14,027.57 × 5,688.44
4. Step 4: Simplify right side
   10,164.72x = 79,794,891.71
5. Step 5: Solve for x
   x = 79,794,891.71/10,164.72
6. Step 6: Final answer
   x = 7,850.18