Finding the Fourth Proportional to 2,636.64, 3,639.60 and 1,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636.64 : 3,639.60 = 1,588.50 : x
2. Step 2: Convert to fraction form
   2,636.64/3,639.60 = 1,588.50/x
3. Step 3: Cross multiply
   2,636.64x = 3,639.60 × 1,588.50
4. Step 4: Simplify right side
   2,636.64x = 5,781,504.60
5. Step 5: Solve for x
   x = 5,781,504.60/2,636.64
6. Step 6: Final answer
   x = 2,192.75