Finding the Fourth Proportional to 2,086.61, 3,127.21 and 852.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.61 : 3,127.21 = 852.61 : x
2. Step 2: Convert to fraction form
   2,086.61/3,127.21 = 852.61/x
3. Step 3: Cross multiply
   2,086.61x = 3,127.21 × 852.61
4. Step 4: Simplify right side
   2,086.61x = 2,666,290.52
5. Step 5: Solve for x
   x = 2,666,290.52/2,086.61
6. Step 6: Final answer
   x = 1,277.81