Finding the Fourth Proportional to 2,641.87, 3,646.17 and 1,648.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.87 : 3,646.17 = 1,648.21 : x
2. Step 2: Convert to fraction form
   2,641.87/3,646.17 = 1,648.21/x
3. Step 3: Cross multiply
   2,641.87x = 3,646.17 × 1,648.21
4. Step 4: Simplify right side
   2,641.87x = 6,009,653.86
5. Step 5: Solve for x
   x = 6,009,653.86/2,641.87
6. Step 6: Final answer
   x = 2,274.77