Finding the Fourth Proportional to 2,657.21, 3,667.10 and 1,462.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.21 : 3,667.10 = 1,462.26 : x
2. Step 2: Convert to fraction form
   2,657.21/3,667.10 = 1,462.26/x
3. Step 3: Cross multiply
   2,657.21x = 3,667.10 × 1,462.26
4. Step 4: Simplify right side
   2,657.21x = 5,362,246.33
5. Step 5: Solve for x
   x = 5,362,246.33/2,657.21
6. Step 6: Final answer
   x = 2,018.00