Finding the Fourth Proportional to 2,641.92, 3,645.70 and 1,462.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.92 : 3,645.70 = 1,462.96 : x
2. Step 2: Convert to fraction form
   2,641.92/3,645.70 = 1,462.96/x
3. Step 3: Cross multiply
   2,641.92x = 3,645.70 × 1,462.96
4. Step 4: Simplify right side
   2,641.92x = 5,333,513.27
5. Step 5: Solve for x
   x = 5,333,513.27/2,641.92
6. Step 6: Final answer
   x = 2,018.80