Finding the Fourth Proportional to 10,462.42, 14,438.10 and 5,746.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.42 : 14,438.10 = 5,746.72 : x
2. Step 2: Convert to fraction form
   10,462.42/14,438.10 = 5,746.72/x
3. Step 3: Cross multiply
   10,462.42x = 14,438.10 × 5,746.72
4. Step 4: Simplify right side
   10,462.42x = 82,971,718.03
5. Step 5: Solve for x
   x = 82,971,718.03/10,462.42
6. Step 6: Final answer
   x = 7,930.45