Finding the Fourth Proportional to 5,238.17, 7,857.50 and 1,728.49

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238.17 : 7,857.50 = 1,728.49 : x
2. Step 2: Convert to fraction form
   5,238.17/7,857.50 = 1,728.49/x
3. Step 3: Cross multiply
   5,238.17x = 7,857.50 × 1,728.49
4. Step 4: Simplify right side
   5,238.17x = 13,581,581.89
5. Step 5: Solve for x
   x = 13,581,581.89/5,238.17
6. Step 6: Final answer
   x = 2,592.81