Finding the Fourth Proportional to 1,549.50, 2,323.29 and 727.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.50 : 2,323.29 = 727.98 : x
2. Step 2: Convert to fraction form
   1,549.50/2,323.29 = 727.98/x
3. Step 3: Cross multiply
   1,549.50x = 2,323.29 × 727.98
4. Step 4: Simplify right side
   1,549.50x = 1,691,308.65
5. Step 5: Solve for x
   x = 1,691,308.65/1,549.50
6. Step 6: Final answer
   x = 1,091.52