Finding the Fourth Proportional to 1,462.21, 2,017.86 and 872.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.21 : 2,017.86 = 872.76 : x
2. Step 2: Convert to fraction form
   1,462.21/2,017.86 = 872.76/x
3. Step 3: Cross multiply
   1,462.21x = 2,017.86 × 872.76
4. Step 4: Simplify right side
   1,462.21x = 1,761,107.49
5. Step 5: Solve for x
   x = 1,761,107.49/1,462.21
6. Step 6: Final answer
   x = 1,204.41