Finding the Fourth Proportional to 10,423.48, 14,384.64 and 5,707.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.48 : 14,384.64 = 5,707.72 : x
2. Step 2: Convert to fraction form
   10,423.48/14,384.64 = 5,707.72/x
3. Step 3: Cross multiply
   10,423.48x = 14,384.64 × 5,707.72
4. Step 4: Simplify right side
   10,423.48x = 82,103,497.42
5. Step 5: Solve for x
   x = 82,103,497.42/10,423.48
6. Step 6: Final answer
   x = 7,876.78