Finding the Fourth Proportional to 10,142.64, 13,996.56 and 5,543.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.64 : 13,996.56 = 5,543.23 : x
2. Step 2: Convert to fraction form
   10,142.64/13,996.56 = 5,543.23/x
3. Step 3: Cross multiply
   10,142.64x = 13,996.56 × 5,543.23
4. Step 4: Simplify right side
   10,142.64x = 77,586,183.01
5. Step 5: Solve for x
   x = 77,586,183.01/10,142.64
6. Step 6: Final answer
   x = 7,649.51