Finding the Fourth Proportional to 10,465.12, 14,441.82 and 5,749.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.12 : 14,441.82 = 5,749.39 : x
2. Step 2: Convert to fraction form
   10,465.12/14,441.82 = 5,749.39/x
3. Step 3: Cross multiply
   10,465.12x = 14,441.82 × 5,749.39
4. Step 4: Simplify right side
   10,465.12x = 83,031,655.49
5. Step 5: Solve for x
   x = 83,031,655.49/10,465.12
6. Step 6: Final answer
   x = 7,934.13