Finding the Fourth Proportional to 1,462.06, 2,017.64 and 872.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.06 : 2,017.64 = 872.60 : x
2. Step 2: Convert to fraction form
   1,462.06/2,017.64 = 872.60/x
3. Step 3: Cross multiply
   1,462.06x = 2,017.64 × 872.60
4. Step 4: Simplify right side
   1,462.06x = 1,760,599.89
5. Step 5: Solve for x
   x = 1,760,599.89/1,462.06
6. Step 6: Final answer
   x = 1,204.19