Finding the Fourth Proportional to 10,462.29, 14,438.07 and 5,746.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.29 : 14,438.07 = 5,746.57 : x
2. Step 2: Convert to fraction form
   10,462.29/14,438.07 = 5,746.57/x
3. Step 3: Cross multiply
   10,462.29x = 14,438.07 × 5,746.57
4. Step 4: Simplify right side
   10,462.29x = 82,969,400.59
5. Step 5: Solve for x
   x = 82,969,400.59/10,462.29
6. Step 6: Final answer
   x = 7,930.33