Finding the Fourth Proportional to 10,333, 14,259.51 and 5,617.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333 : 14,259.51 = 5,617.25 : x
2. Step 2: Convert to fraction form
   10,333/14,259.51 = 5,617.25/x
3. Step 3: Cross multiply
   10,333x = 14,259.51 × 5,617.25
4. Step 4: Simplify right side
   10,333x = 80,099,175.83
5. Step 5: Solve for x
   x = 80,099,175.83/10,333
6. Step 6: Final answer
   x = 7,751.78