Finding the Fourth Proportional to 10,164.87, 14,027.52 and 5,688.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.87 : 14,027.52 = 5,688.81 : x
2. Step 2: Convert to fraction form
   10,164.87/14,027.52 = 5,688.81/x
3. Step 3: Cross multiply
   10,164.87x = 14,027.52 × 5,688.81
4. Step 4: Simplify right side
   10,164.87x = 79,799,896.05
5. Step 5: Solve for x
   x = 79,799,896.05/10,164.87
6. Step 6: Final answer
   x = 7,850.56