Finding the Fourth Proportional to 2,767.82, 3,817.64 and 1,882.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.82 : 3,817.64 = 1,882.12 : x
2. Step 2: Convert to fraction form
   2,767.82/3,817.64 = 1,882.12/x
3. Step 3: Cross multiply
   2,767.82x = 3,817.64 × 1,882.12
4. Step 4: Simplify right side
   2,767.82x = 7,185,256.60
5. Step 5: Solve for x
   x = 7,185,256.60/2,767.82
6. Step 6: Final answer
   x = 2,596.00