Finding the Fourth Proportional to 1,367.82, 1,887.71 and 843.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.82 : 1,887.71 = 843.75 : x
2. Step 2: Convert to fraction form
   1,367.82/1,887.71 = 843.75/x
3. Step 3: Cross multiply
   1,367.82x = 1,887.71 × 843.75
4. Step 4: Simplify right side
   1,367.82x = 1,592,751.09
5. Step 5: Solve for x
   x = 1,592,751.09/1,367.82
6. Step 6: Final answer
   x = 1,164.44