Finding the Fourth Proportional to 10,143.60, 13,997.50 and 5,667.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,143.60 : 13,997.50 = 5,667.13 : x
2. Step 2: Convert to fraction form
   10,143.60/13,997.50 = 5,667.13/x
3. Step 3: Cross multiply
   10,143.60x = 13,997.50 × 5,667.13
4. Step 4: Simplify right side
   10,143.60x = 79,325,652.18
5. Step 5: Solve for x
   x = 79,325,652.18/10,143.60
6. Step 6: Final answer
   x = 7,820.27