Finding the Fourth Proportional to 2,536.92, 3,805.53 and 871.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.92 : 3,805.53 = 871.00 : x
2. Step 2: Convert to fraction form
   2,536.92/3,805.53 = 871.00/x
3. Step 3: Cross multiply
   2,536.92x = 3,805.53 × 871.00
4. Step 4: Simplify right side
   2,536.92x = 3,314,630.16
5. Step 5: Solve for x
   x = 3,314,630.16/2,536.92
6. Step 6: Final answer
   x = 1,306.56