Finding the Fourth Proportional to 1,054.96, 1,580.91 and 727.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.96 : 1,580.91 = 727.72 : x
2. Step 2: Convert to fraction form
   1,054.96/1,580.91 = 727.72/x
3. Step 3: Cross multiply
   1,054.96x = 1,580.91 × 727.72
4. Step 4: Simplify right side
   1,054.96x = 1,150,459.83
5. Step 5: Solve for x
   x = 1,150,459.83/1,054.96
6. Step 6: Final answer
   x = 1,090.52