Finding the Fourth Proportional to 10,423.14, 14,383.86 and 5,707.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.14 : 14,383.86 = 5,707.32 : x
2. Step 2: Convert to fraction form
   10,423.14/14,383.86 = 5,707.32/x
3. Step 3: Cross multiply
   10,423.14x = 14,383.86 × 5,707.32
4. Step 4: Simplify right side
   10,423.14x = 82,093,291.86
5. Step 5: Solve for x
   x = 82,093,291.86/10,423.14
6. Step 6: Final answer
   x = 7,876.06