Finding the Fourth Proportional to 2,647.84, 3,971.82 and 1,005.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.84 : 3,971.82 = 1,005.16 : x
2. Step 2: Convert to fraction form
   2,647.84/3,971.82 = 1,005.16/x
3. Step 3: Cross multiply
   2,647.84x = 3,971.82 × 1,005.16
4. Step 4: Simplify right side
   2,647.84x = 3,992,314.59
5. Step 5: Solve for x
   x = 3,992,314.59/2,647.84
6. Step 6: Final answer
   x = 1,507.76