Finding the Fourth Proportional to 10,158.54, 14,018.42 and 5,682.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.54 : 14,018.42 = 5,682.78 : x
2. Step 2: Convert to fraction form
   10,158.54/14,018.42 = 5,682.78/x
3. Step 3: Cross multiply
   10,158.54x = 14,018.42 × 5,682.78
4. Step 4: Simplify right side
   10,158.54x = 79,663,596.81
5. Step 5: Solve for x
   x = 79,663,596.81/10,158.54
6. Step 6: Final answer
   x = 7,842.03