Finding the Fourth Proportional to 10,465.22, 14,442.23 and 5,749.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.22 : 14,442.23 = 5,749.54 : x
2. Step 2: Convert to fraction form
   10,465.22/14,442.23 = 5,749.54/x
3. Step 3: Cross multiply
   10,465.22x = 14,442.23 × 5,749.54
4. Step 4: Simplify right side
   10,465.22x = 83,036,179.07
5. Step 5: Solve for x
   x = 83,036,179.07/10,465.22
6. Step 6: Final answer
   x = 7,934.49