Finding the Fourth Proportional to 10,427.46, 14,389.42 and 5,711.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,427.46 : 14,389.42 = 5,711.64 : x
2. Step 2: Convert to fraction form
   10,427.46/14,389.42 = 5,711.64/x
3. Step 3: Cross multiply
   10,427.46x = 14,389.42 × 5,711.64
4. Step 4: Simplify right side
   10,427.46x = 82,187,186.85
5. Step 5: Solve for x
   x = 82,187,186.85/10,427.46
6. Step 6: Final answer
   x = 7,881.80