Finding the Fourth Proportional to 10,164.48, 14,027.22 and 5,688.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.48 : 14,027.22 = 5,688.18 : x
2. Step 2: Convert to fraction form
   10,164.48/14,027.22 = 5,688.18/x
3. Step 3: Cross multiply
   10,164.48x = 14,027.22 × 5,688.18
4. Step 4: Simplify right side
   10,164.48x = 79,789,352.26
5. Step 5: Solve for x
   x = 79,789,352.26/10,164.48
6. Step 6: Final answer
   x = 7,849.82