Finding the Fourth Proportional to 10,460.96, 14,436.42 and 5,745.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.96 : 14,436.42 = 5,745.55 : x
2. Step 2: Convert to fraction form
   10,460.96/14,436.42 = 5,745.55/x
3. Step 3: Cross multiply
   10,460.96x = 14,436.42 × 5,745.55
4. Step 4: Simplify right side
   10,460.96x = 82,945,172.93
5. Step 5: Solve for x
   x = 82,945,172.93/10,460.96
6. Step 6: Final answer
   x = 7,929.02