Finding the Fourth Proportional to 1,548.86, 2,323.89 and 727.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,548.86 : 2,323.89 = 727.65 : x
2. Step 2: Convert to fraction form
   1,548.86/2,323.89 = 727.65/x
3. Step 3: Cross multiply
   1,548.86x = 2,323.89 × 727.65
4. Step 4: Simplify right side
   1,548.86x = 1,690,978.56
5. Step 5: Solve for x
   x = 1,690,978.56/1,548.86
6. Step 6: Final answer
   x = 1,091.76