Finding the Fourth Proportional to 2,005.38, 3,012.75 and 1,767.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.38 : 3,012.75 = 1,767.06 : x
2. Step 2: Convert to fraction form
   2,005.38/3,012.75 = 1,767.06/x
3. Step 3: Cross multiply
   2,005.38x = 3,012.75 × 1,767.06
4. Step 4: Simplify right side
   2,005.38x = 5,323,710.02
5. Step 5: Solve for x
   x = 5,323,710.02/2,005.38
6. Step 6: Final answer
   x = 2,654.71