Finding the Fourth Proportional to 2,641.28, 3,645.02 and 1,462.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.28 : 3,645.02 = 1,462.35 : x
2. Step 2: Convert to fraction form
   2,641.28/3,645.02 = 1,462.35/x
3. Step 3: Cross multiply
   2,641.28x = 3,645.02 × 1,462.35
4. Step 4: Simplify right side
   2,641.28x = 5,330,298.65
5. Step 5: Solve for x
   x = 5,330,298.65/2,641.28
6. Step 6: Final answer
   x = 2,018.08