Finding the Fourth Proportional to 1,411.98, 2,118.45 and 727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.98 : 2,118.45 = 727.50 : x
2. Step 2: Convert to fraction form
   1,411.98/2,118.45 = 727.50/x
3. Step 3: Cross multiply
   1,411.98x = 2,118.45 × 727.50
4. Step 4: Simplify right side
   1,411.98x = 1,541,172.38
5. Step 5: Solve for x
   x = 1,541,172.38/1,411.98
6. Step 6: Final answer
   x = 1,091.50