Finding the Fourth Proportional to 2,536.56, 3,805.65 and 1,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.56 : 3,805.65 = 1,381.50 : x
2. Step 2: Convert to fraction form
   2,536.56/3,805.65 = 1,381.50/x
3. Step 3: Cross multiply
   2,536.56x = 3,805.65 × 1,381.50
4. Step 4: Simplify right side
   2,536.56x = 5,257,505.48
5. Step 5: Solve for x
   x = 5,257,505.48/2,536.56
6. Step 6: Final answer
   x = 2,072.69