Finding the Fourth Proportional to 10,158.77, 14,019.82 and 5,682.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.77 : 14,019.82 = 5,682.94 : x
2. Step 2: Convert to fraction form
   10,158.77/14,019.82 = 5,682.94/x
3. Step 3: Cross multiply
   10,158.77x = 14,019.82 × 5,682.94
4. Step 4: Simplify right side
   10,158.77x = 79,673,795.87
5. Step 5: Solve for x
   x = 79,673,795.87/10,158.77
6. Step 6: Final answer
   x = 7,842.86