Finding the Fourth Proportional to 1,462.41, 2,017.94 and 872.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.41 : 2,017.94 = 872.82 : x
2. Step 2: Convert to fraction form
   1,462.41/2,017.94 = 872.82/x
3. Step 3: Cross multiply
   1,462.41x = 2,017.94 × 872.82
4. Step 4: Simplify right side
   1,462.41x = 1,761,294.03
5. Step 5: Solve for x
   x = 1,761,294.03/1,462.41
6. Step 6: Final answer
   x = 1,204.38