Finding the Fourth Proportional to 1,462.58, 2,017.77 and 872.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.58 : 2,017.77 = 872.78 : x
2. Step 2: Convert to fraction form
   1,462.58/2,017.77 = 872.78/x
3. Step 3: Cross multiply
   1,462.58x = 2,017.77 × 872.78
4. Step 4: Simplify right side
   1,462.58x = 1,761,069.30
5. Step 5: Solve for x
   x = 1,761,069.30/1,462.58
6. Step 6: Final answer
   x = 1,204.08