Finding the Fourth Proportional to 10,462.62, 14,438.34 and 5,746.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.62 : 14,438.34 = 5,746.80 : x
2. Step 2: Convert to fraction form
   10,462.62/14,438.34 = 5,746.80/x
3. Step 3: Cross multiply
   10,462.62x = 14,438.34 × 5,746.80
4. Step 4: Simplify right side
   10,462.62x = 82,974,252.31
5. Step 5: Solve for x
   x = 82,974,252.31/10,462.62
6. Step 6: Final answer
   x = 7,930.54