Finding the Fourth Proportional to 1,855.84, 2,561 and 1,016.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.84 : 2,561 = 1,016.56 : x
2. Step 2: Convert to fraction form
   1,855.84/2,561 = 1,016.56/x
3. Step 3: Cross multiply
   1,855.84x = 2,561 × 1,016.56
4. Step 4: Simplify right side
   1,855.84x = 2,603,410.16
5. Step 5: Solve for x
   x = 2,603,410.16/1,855.84
6. Step 6: Final answer
   x = 1,402.82