Finding the Fourth Proportional to 2,638.86, 3,641.58 and 1,643.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.86 : 3,641.58 = 1,643.64 : x
2. Step 2: Convert to fraction form
   2,638.86/3,641.58 = 1,643.64/x
3. Step 3: Cross multiply
   2,638.86x = 3,641.58 × 1,643.64
4. Step 4: Simplify right side
   2,638.86x = 5,985,446.55
5. Step 5: Solve for x
   x = 5,985,446.55/2,638.86
6. Step 6: Final answer
   x = 2,268.19