Finding the Fourth Proportional to 10,462.65, 14,438.69 and 5,746.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.65 : 14,438.69 = 5,746.96 : x
2. Step 2: Convert to fraction form
   10,462.65/14,438.69 = 5,746.96/x
3. Step 3: Cross multiply
   10,462.65x = 14,438.69 × 5,746.96
4. Step 4: Simplify right side
   10,462.65x = 82,978,573.88
5. Step 5: Solve for x
   x = 82,978,573.88/10,462.65
6. Step 6: Final answer
   x = 7,930.93