Finding the Fourth Proportional to 1,535.98, 2,119.64 and 872.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.98 : 2,119.64 = 872.82 : x
2. Step 2: Convert to fraction form
   1,535.98/2,119.64 = 872.82/x
3. Step 3: Cross multiply
   1,535.98x = 2,119.64 × 872.82
4. Step 4: Simplify right side
   1,535.98x = 1,850,064.18
5. Step 5: Solve for x
   x = 1,850,064.18/1,535.98
6. Step 6: Final answer
   x = 1,204.48