Finding the Fourth Proportional to 1,855.64, 2,560.82 and 1,016.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.64 : 2,560.82 = 1,016.38 : x
2. Step 2: Convert to fraction form
   1,855.64/2,560.82 = 1,016.38/x
3. Step 3: Cross multiply
   1,855.64x = 2,560.82 × 1,016.38
4. Step 4: Simplify right side
   1,855.64x = 2,602,748.35
5. Step 5: Solve for x
   x = 2,602,748.35/1,855.64
6. Step 6: Final answer
   x = 1,402.62