Finding the Fourth Proportional to 2,657.69, 3,667.46 and 1,462.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.69 : 3,667.46 = 1,462.47 : x
2. Step 2: Convert to fraction form
   2,657.69/3,667.46 = 1,462.47/x
3. Step 3: Cross multiply
   2,657.69x = 3,667.46 × 1,462.47
4. Step 4: Simplify right side
   2,657.69x = 5,363,549.33
5. Step 5: Solve for x
   x = 5,363,549.33/2,657.69
6. Step 6: Final answer
   x = 2,018.12