Finding the Fourth Proportional to 2,742.67, 4,113.18 and 767.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.67 : 4,113.18 = 767.82 : x
2. Step 2: Convert to fraction form
   2,742.67/4,113.18 = 767.82/x
3. Step 3: Cross multiply
   2,742.67x = 4,113.18 × 767.82
4. Step 4: Simplify right side
   2,742.67x = 3,158,181.87
5. Step 5: Solve for x
   x = 3,158,181.87/2,742.67
6. Step 6: Final answer
   x = 1,151.50