Finding the Fourth Proportional to 10,158.81, 14,019.17 and 5,682.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.81 : 14,019.17 = 5,682.63 : x
2. Step 2: Convert to fraction form
   10,158.81/14,019.17 = 5,682.63/x
3. Step 3: Cross multiply
   10,158.81x = 14,019.17 × 5,682.63
4. Step 4: Simplify right side
   10,158.81x = 79,665,756.02
5. Step 5: Solve for x
   x = 79,665,756.02/10,158.81
6. Step 6: Final answer
   x = 7,842.04