Finding the Fourth Proportional to 10,141.52, 13,994.88 and 5,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.52 : 13,994.88 = 5,665.25 : x
2. Step 2: Convert to fraction form
   10,141.52/13,994.88 = 5,665.25/x
3. Step 3: Cross multiply
   10,141.52x = 13,994.88 × 5,665.25
4. Step 4: Simplify right side
   10,141.52x = 79,284,493.92
5. Step 5: Solve for x
   x = 79,284,493.92/10,141.52
6. Step 6: Final answer
   x = 7,817.81