Finding the Fourth Proportional to 2,657.64, 3,667.63 and 1,462.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.64 : 3,667.63 = 1,462.67 : x
2. Step 2: Convert to fraction form
   2,657.64/3,667.63 = 1,462.67/x
3. Step 3: Cross multiply
   2,657.64x = 3,667.63 × 1,462.67
4. Step 4: Simplify right side
   2,657.64x = 5,364,532.37
5. Step 5: Solve for x
   x = 5,364,532.37/2,657.64
6. Step 6: Final answer
   x = 2,018.53