Finding the Fourth Proportional to 2,657.86, 3,667.68 and 1,462.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.86 : 3,667.68 = 1,462.76 : x
2. Step 2: Convert to fraction form
   2,657.86/3,667.68 = 1,462.76/x
3. Step 3: Cross multiply
   2,657.86x = 3,667.68 × 1,462.76
4. Step 4: Simplify right side
   2,657.86x = 5,364,935.60
5. Step 5: Solve for x
   x = 5,364,935.60/2,657.86
6. Step 6: Final answer
   x = 2,018.52