Finding the Fourth Proportional to 1,536.82, 2,120.82 and 873.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.82 : 2,120.82 = 873.81 : x
2. Step 2: Convert to fraction form
   1,536.82/2,120.82 = 873.81/x
3. Step 3: Cross multiply
   1,536.82x = 2,120.82 × 873.81
4. Step 4: Simplify right side
   1,536.82x = 1,853,190.45
5. Step 5: Solve for x
   x = 1,853,190.45/1,536.82
6. Step 6: Final answer
   x = 1,205.86