Finding the Fourth Proportional to 10,462.47, 14,438.43 and 5,746.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.47 : 14,438.43 = 5,746.73 : x
2. Step 2: Convert to fraction form
   10,462.47/14,438.43 = 5,746.73/x
3. Step 3: Cross multiply
   10,462.47x = 14,438.43 × 5,746.73
4. Step 4: Simplify right side
   10,462.47x = 82,973,686.64
5. Step 5: Solve for x
   x = 82,973,686.64/10,462.47
6. Step 6: Final answer
   x = 7,930.60