Finding the Fourth Proportional to 2,657.65, 3,667.53 and 1,462.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.65 : 3,667.53 = 1,462.71 : x
2. Step 2: Convert to fraction form
   2,657.65/3,667.53 = 1,462.71/x
3. Step 3: Cross multiply
   2,657.65x = 3,667.53 × 1,462.71
4. Step 4: Simplify right side
   2,657.65x = 5,364,514.47
5. Step 5: Solve for x
   x = 5,364,514.47/2,657.65
6. Step 6: Final answer
   x = 2,018.52