Finding the Fourth Proportional to 10,465.48, 14,442.46 and 5,749.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.48 : 14,442.46 = 5,749.76 : x
2. Step 2: Convert to fraction form
   10,465.48/14,442.46 = 5,749.76/x
3. Step 3: Cross multiply
   10,465.48x = 14,442.46 × 5,749.76
4. Step 4: Simplify right side
   10,465.48x = 83,040,678.81
5. Step 5: Solve for x
   x = 83,040,678.81/10,465.48
6. Step 6: Final answer
   x = 7,934.72