Finding the Fourth Proportional to 10,255.99, 14,153.27 and 5,540.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.99 : 14,153.27 = 5,540.27 : x
2. Step 2: Convert to fraction form
   10,255.99/14,153.27 = 5,540.27/x
3. Step 3: Cross multiply
   10,255.99x = 14,153.27 × 5,540.27
4. Step 4: Simplify right side
   10,255.99x = 78,412,981.51
5. Step 5: Solve for x
   x = 78,412,981.51/10,255.99
6. Step 6: Final answer
   x = 7,645.58