Finding the Fourth Proportional to 10,143.10, 13,996.81 and 5,666.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,143.10 : 13,996.81 = 5,666.63 : x
2. Step 2: Convert to fraction form
   10,143.10/13,996.81 = 5,666.63/x
3. Step 3: Cross multiply
   10,143.10x = 13,996.81 × 5,666.63
4. Step 4: Simplify right side
   10,143.10x = 79,314,743.45
5. Step 5: Solve for x
   x = 79,314,743.45/10,143.10
6. Step 6: Final answer
   x = 7,819.58