Finding the Fourth Proportional to 2,536.42, 3,786.91 and 2,189.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.42 : 3,786.91 = 2,189.38 : x
2. Step 2: Convert to fraction form
   2,536.42/3,786.91 = 2,189.38/x
3. Step 3: Cross multiply
   2,536.42x = 3,786.91 × 2,189.38
4. Step 4: Simplify right side
   2,536.42x = 8,290,985.02
5. Step 5: Solve for x
   x = 8,290,985.02/2,536.42
6. Step 6: Final answer
   x = 3,268.77