Finding the Fourth Proportional to 1,271.82, 1,755.98 and 852.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.82 : 1,755.98 = 852.80 : x
2. Step 2: Convert to fraction form
   1,271.82/1,755.98 = 852.80/x
3. Step 3: Cross multiply
   1,271.82x = 1,755.98 × 852.80
4. Step 4: Simplify right side
   1,271.82x = 1,497,499.78
5. Step 5: Solve for x
   x = 1,497,499.78/1,271.82
6. Step 6: Final answer
   x = 1,177.44