Finding the Fourth Proportional to 10,462.89, 14,438.75 and 5,747.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.89 : 14,438.75 = 5,747.07 : x
2. Step 2: Convert to fraction form
   10,462.89/14,438.75 = 5,747.07/x
3. Step 3: Cross multiply
   10,462.89x = 14,438.75 × 5,747.07
4. Step 4: Simplify right side
   10,462.89x = 82,980,478.23
5. Step 5: Solve for x
   x = 82,980,478.23/10,462.89
6. Step 6: Final answer
   x = 7,930.93