Finding the Fourth Proportional to 10,423.63, 14,384.47 and 5,707.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.63 : 14,384.47 = 5,707.91 : x
2. Step 2: Convert to fraction form
   10,423.63/14,384.47 = 5,707.91/x
3. Step 3: Cross multiply
   10,423.63x = 14,384.47 × 5,707.91
4. Step 4: Simplify right side
   10,423.63x = 82,105,260.16
5. Step 5: Solve for x
   x = 82,105,260.16/10,423.63
6. Step 6: Final answer
   x = 7,876.84