Finding the Fourth Proportional to 2,641.06, 3,644.67 and 1,462.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.06 : 3,644.67 = 1,462.15 : x
2. Step 2: Convert to fraction form
   2,641.06/3,644.67 = 1,462.15/x
3. Step 3: Cross multiply
   2,641.06x = 3,644.67 × 1,462.15
4. Step 4: Simplify right side
   2,641.06x = 5,329,054.24
5. Step 5: Solve for x
   x = 5,329,054.24/2,641.06
6. Step 6: Final answer
   x = 2,017.77