Finding the Fourth Proportional to 10,465.28, 14,442.22 and 5,749.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.28 : 14,442.22 = 5,749.58 : x
2. Step 2: Convert to fraction form
   10,465.28/14,442.22 = 5,749.58/x
3. Step 3: Cross multiply
   10,465.28x = 14,442.22 × 5,749.58
4. Step 4: Simplify right side
   10,465.28x = 83,036,699.27
5. Step 5: Solve for x
   x = 83,036,699.27/10,465.28
6. Step 6: Final answer
   x = 7,934.49