Finding the Fourth Proportional to 2,567.10, 3,845.16 and 1,784.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.10 : 3,845.16 = 1,784.82 : x
2. Step 2: Convert to fraction form
   2,567.10/3,845.16 = 1,784.82/x
3. Step 3: Cross multiply
   2,567.10x = 3,845.16 × 1,784.82
4. Step 4: Simplify right side
   2,567.10x = 6,862,918.47
5. Step 5: Solve for x
   x = 6,862,918.47/2,567.10
6. Step 6: Final answer
   x = 2,673.41