Finding the Fourth Proportional to 10,241.63, 14,134.80 and 5,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,241.63 : 14,134.80 = 5,766.25 : x
2. Step 2: Convert to fraction form
   10,241.63/14,134.80 = 5,766.25/x
3. Step 3: Cross multiply
   10,241.63x = 14,134.80 × 5,766.25
4. Step 4: Simplify right side
   10,241.63x = 81,504,790.50
5. Step 5: Solve for x
   x = 81,504,790.50/10,241.63
6. Step 6: Final answer
   x = 7,958.19