Finding the Fourth Proportional to 2,735.94, 4,105.53 and 1,005.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,735.94 : 4,105.53 = 1,005.78 : x
2. Step 2: Convert to fraction form
   2,735.94/4,105.53 = 1,005.78/x
3. Step 3: Cross multiply
   2,735.94x = 4,105.53 × 1,005.78
4. Step 4: Simplify right side
   2,735.94x = 4,129,259.96
5. Step 5: Solve for x
   x = 4,129,259.96/2,735.94
6. Step 6: Final answer
   x = 1,509.27