Finding the Fourth Proportional to 2,641.16, 3,645.05 and 1,462.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.16 : 3,645.05 = 1,462.46 : x
2. Step 2: Convert to fraction form
   2,641.16/3,645.05 = 1,462.46/x
3. Step 3: Cross multiply
   2,641.16x = 3,645.05 × 1,462.46
4. Step 4: Simplify right side
   2,641.16x = 5,330,714.29
5. Step 5: Solve for x
   x = 5,330,714.29/2,641.16
6. Step 6: Final answer
   x = 2,018.32