Finding the Fourth Proportional to 1,377.27, 1,899.72 and 852.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.27 : 1,899.72 = 852.75 : x
2. Step 2: Convert to fraction form
   1,377.27/1,899.72 = 852.75/x
3. Step 3: Cross multiply
   1,377.27x = 1,899.72 × 852.75
4. Step 4: Simplify right side
   1,377.27x = 1,619,986.23
5. Step 5: Solve for x
   x = 1,619,986.23/1,377.27
6. Step 6: Final answer
   x = 1,176.23