Finding the Fourth Proportional to 10,423.50, 14,384.56 and 5,707.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.50 : 14,384.56 = 5,707.68 : x
2. Step 2: Convert to fraction form
   10,423.50/14,384.56 = 5,707.68/x
3. Step 3: Cross multiply
   10,423.50x = 14,384.56 × 5,707.68
4. Step 4: Simplify right side
   10,423.50x = 82,102,465.42
5. Step 5: Solve for x
   x = 82,102,465.42/10,423.50
6. Step 6: Final answer
   x = 7,876.67