Finding the Fourth Proportional to 10,423.46, 14,384.40 and 5,707.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.46 : 14,384.40 = 5,707.64 : x
2. Step 2: Convert to fraction form
   10,423.46/14,384.40 = 5,707.64/x
3. Step 3: Cross multiply
   10,423.46x = 14,384.40 × 5,707.64
4. Step 4: Simplify right side
   10,423.46x = 82,100,976.82
5. Step 5: Solve for x
   x = 82,100,976.82/10,423.46
6. Step 6: Final answer
   x = 7,876.56