Finding the Fourth Proportional to 2,657.52, 3,667.46 and 1,462.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.52 : 3,667.46 = 1,462.55 : x
2. Step 2: Convert to fraction form
   2,657.52/3,667.46 = 1,462.55/x
3. Step 3: Cross multiply
   2,657.52x = 3,667.46 × 1,462.55
4. Step 4: Simplify right side
   2,657.52x = 5,363,817.97
5. Step 5: Solve for x
   x = 5,363,817.97/2,657.52
6. Step 6: Final answer
   x = 2,018.35