Finding the Fourth Proportional to 10,143.20, 13,997.69 and 5,667.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,143.20 : 13,997.69 = 5,667.14 : x
2. Step 2: Convert to fraction form
   10,143.20/13,997.69 = 5,667.14/x
3. Step 3: Cross multiply
   10,143.20x = 13,997.69 × 5,667.14
4. Step 4: Simplify right side
   10,143.20x = 79,326,841.51
5. Step 5: Solve for x
   x = 79,326,841.51/10,143.20
6. Step 6: Final answer
   x = 7,820.69