Finding the Fourth Proportional to 10,158.70, 14,019.59 and 5,682.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.70 : 14,019.59 = 5,682.64 : x
2. Step 2: Convert to fraction form
   10,158.70/14,019.59 = 5,682.64/x
3. Step 3: Cross multiply
   10,158.70x = 14,019.59 × 5,682.64
4. Step 4: Simplify right side
   10,158.70x = 79,668,282.92
5. Step 5: Solve for x
   x = 79,668,282.92/10,158.70
6. Step 6: Final answer
   x = 7,842.37