Finding the Fourth Proportional to 10,183.14, 14,052.60 and 5,706.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,183.14 : 14,052.60 = 5,706.86 : x
2. Step 2: Convert to fraction form
   10,183.14/14,052.60 = 5,706.86/x
3. Step 3: Cross multiply
   10,183.14x = 14,052.60 × 5,706.86
4. Step 4: Simplify right side
   10,183.14x = 80,196,150.57
5. Step 5: Solve for x
   x = 80,196,150.57/10,183.14
6. Step 6: Final answer
   x = 7,875.39