Finding the Fourth Proportional to 1,536.83, 2,120.82 and 873.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.83 : 2,120.82 = 873.55 : x
2. Step 2: Convert to fraction form
   1,536.83/2,120.82 = 873.55/x
3. Step 3: Cross multiply
   1,536.83x = 2,120.82 × 873.55
4. Step 4: Simplify right side
   1,536.83x = 1,852,642.31
5. Step 5: Solve for x
   x = 1,852,642.31/1,536.83
6. Step 6: Final answer
   x = 1,205.50