Finding the Fourth Proportional to 2,459.12, 3,688.05 and 727.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,459.12 : 3,688.05 = 727.34 : x
2. Step 2: Convert to fraction form
   2,459.12/3,688.05 = 727.34/x
3. Step 3: Cross multiply
   2,459.12x = 3,688.05 × 727.34
4. Step 4: Simplify right side
   2,459.12x = 2,682,466.29
5. Step 5: Solve for x
   x = 2,682,466.29/2,459.12
6. Step 6: Final answer
   x = 1,090.82