Finding the Fourth Proportional to 2,636.12, 3,637.32 and 1,588.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636.12 : 3,637.32 = 1,588.25 : x
2. Step 2: Convert to fraction form
   2,636.12/3,637.32 = 1,588.25/x
3. Step 3: Cross multiply
   2,636.12x = 3,637.32 × 1,588.25
4. Step 4: Simplify right side
   2,636.12x = 5,776,973.49
5. Step 5: Solve for x
   x = 5,776,973.49/2,636.12
6. Step 6: Final answer
   x = 2,191.47