Finding the Fourth Proportional to 2,641.90, 3,645.68 and 1,462.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.90 : 3,645.68 = 1,462.94 : x
2. Step 2: Convert to fraction form
   2,641.90/3,645.68 = 1,462.94/x
3. Step 3: Cross multiply
   2,641.90x = 3,645.68 × 1,462.94
4. Step 4: Simplify right side
   2,641.90x = 5,333,411.10
5. Step 5: Solve for x
   x = 5,333,411.10/2,641.90
6. Step 6: Final answer
   x = 2,018.78