Finding the Fourth Proportional to 2,742.82, 4,112.16 and 892.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.82 : 4,112.16 = 892.83 : x
2. Step 2: Convert to fraction form
   2,742.82/4,112.16 = 892.83/x
3. Step 3: Cross multiply
   2,742.82x = 4,112.16 × 892.83
4. Step 4: Simplify right side
   2,742.82x = 3,671,459.81
5. Step 5: Solve for x
   x = 3,671,459.81/2,742.82
6. Step 6: Final answer
   x = 1,338.57