Finding the Fourth Proportional to 10,142.68, 13,994.34 and 5,950.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.68 : 13,994.34 = 5,950.12 : x
2. Step 2: Convert to fraction form
   10,142.68/13,994.34 = 5,950.12/x
3. Step 3: Cross multiply
   10,142.68x = 13,994.34 × 5,950.12
4. Step 4: Simplify right side
   10,142.68x = 83,268,002.32
5. Step 5: Solve for x
   x = 83,268,002.32/10,142.68
6. Step 6: Final answer
   x = 8,209.66