Finding the Fourth Proportional to 1,462.35, 2,017.89 and 872.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.35 : 2,017.89 = 872.77 : x
2. Step 2: Convert to fraction form
   1,462.35/2,017.89 = 872.77/x
3. Step 3: Cross multiply
   1,462.35x = 2,017.89 × 872.77
4. Step 4: Simplify right side
   1,462.35x = 1,761,153.86
5. Step 5: Solve for x
   x = 1,761,153.86/1,462.35
6. Step 6: Final answer
   x = 1,204.33