Finding the Fourth Proportional to 10,441.86, 14,409.77 and 5,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,441.86 : 14,409.77 = 5,726.25 : x
2. Step 2: Convert to fraction form
   10,441.86/14,409.77 = 5,726.25/x
3. Step 3: Cross multiply
   10,441.86x = 14,409.77 × 5,726.25
4. Step 4: Simplify right side
   10,441.86x = 82,513,844.78
5. Step 5: Solve for x
   x = 82,513,844.78/10,441.86
6. Step 6: Final answer
   x = 7,902.22