Finding the Fourth Proportional to 10,017.50, 13,825.16 and 5,768.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.50 : 13,825.16 = 5,768.72 : x
2. Step 2: Convert to fraction form
   10,017.50/13,825.16 = 5,768.72/x
3. Step 3: Cross multiply
   10,017.50x = 13,825.16 × 5,768.72
4. Step 4: Simplify right side
   10,017.50x = 79,753,477.00
5. Step 5: Solve for x
   x = 79,753,477.00/10,017.50
6. Step 6: Final answer
   x = 7,961.42