Finding the Fourth Proportional to 10,158.97, 14,019.12 and 5,682.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.97 : 14,019.12 = 5,682.91 : x
2. Step 2: Convert to fraction form
   10,158.97/14,019.12 = 5,682.91/x
3. Step 3: Cross multiply
   10,158.97x = 14,019.12 × 5,682.91
4. Step 4: Simplify right side
   10,158.97x = 79,669,362.19
5. Step 5: Solve for x
   x = 79,669,362.19/10,158.97
6. Step 6: Final answer
   x = 7,842.27