Finding the Fourth Proportional to 3,659.64, 5,006.72 and 3,643.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,659.64 : 5,006.72 = 3,643.96 : x
2. Step 2: Convert to fraction form
   3,659.64/5,006.72 = 3,643.96/x
3. Step 3: Cross multiply
   3,659.64x = 5,006.72 × 3,643.96
4. Step 4: Simplify right side
   3,659.64x = 18,244,287.41
5. Step 5: Solve for x
   x = 18,244,287.41/3,659.64
6. Step 6: Final answer
   x = 4,985.27