Finding the Fourth Proportional to 10,158.96, 14,019.30 and 5,682.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.96 : 14,019.30 = 5,682.69 : x
2. Step 2: Convert to fraction form
   10,158.96/14,019.30 = 5,682.69/x
3. Step 3: Cross multiply
   10,158.96x = 14,019.30 × 5,682.69
4. Step 4: Simplify right side
   10,158.96x = 79,667,335.92
5. Step 5: Solve for x
   x = 79,667,335.92/10,158.96
6. Step 6: Final answer
   x = 7,842.08