Finding the Fourth Proportional to 2,617.56, 3,923.91 and 1,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.56 : 3,923.91 = 1,462.50 : x
2. Step 2: Convert to fraction form
   2,617.56/3,923.91 = 1,462.50/x
3. Step 3: Cross multiply
   2,617.56x = 3,923.91 × 1,462.50
4. Step 4: Simplify right side
   2,617.56x = 5,738,718.38
5. Step 5: Solve for x
   x = 5,738,718.38/2,617.56
6. Step 6: Final answer
   x = 2,192.39