Finding the Fourth Proportional to 10,540.33, 14,544.97 and 5,759.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.33 : 14,544.97 = 5,759.30 : x
2. Step 2: Convert to fraction form
   10,540.33/14,544.97 = 5,759.30/x
3. Step 3: Cross multiply
   10,540.33x = 14,544.97 × 5,759.30
4. Step 4: Simplify right side
   10,540.33x = 83,768,867.69
5. Step 5: Solve for x
   x = 83,768,867.69/10,540.33
6. Step 6: Final answer
   x = 7,947.46