Finding the Fourth Proportional to 2,636.15, 3,637.86 and 1,588.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636.15 : 3,637.86 = 1,588.01 : x
2. Step 2: Convert to fraction form
   2,636.15/3,637.86 = 1,588.01/x
3. Step 3: Cross multiply
   2,636.15x = 3,637.86 × 1,588.01
4. Step 4: Simplify right side
   2,636.15x = 5,776,958.06
5. Step 5: Solve for x
   x = 5,776,958.06/2,636.15
6. Step 6: Final answer
   x = 2,191.44