Finding the Fourth Proportional to 10,157.94, 14,019.12 and 5,682.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.94 : 14,019.12 = 5,682.83 : x
2. Step 2: Convert to fraction form
   10,157.94/14,019.12 = 5,682.83/x
3. Step 3: Cross multiply
   10,157.94x = 14,019.12 × 5,682.83
4. Step 4: Simplify right side
   10,157.94x = 79,668,205.61
5. Step 5: Solve for x
   x = 79,668,205.61/10,157.94
6. Step 6: Final answer
   x = 7,842.95