Finding the Fourth Proportional to 1,424.50, 1,965.83 and 872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.50 : 1,965.83 = 872.50 : x
2. Step 2: Convert to fraction form
   1,424.50/1,965.83 = 872.50/x
3. Step 3: Cross multiply
   1,424.50x = 1,965.83 × 872.50
4. Step 4: Simplify right side
   1,424.50x = 1,715,186.68
5. Step 5: Solve for x
   x = 1,715,186.68/1,424.50
6. Step 6: Final answer
   x = 1,204.06