Finding the Fourth Proportional to 1,016.55, 1,524.54 and 853.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.55 : 1,524.54 = 853.08 : x
2. Step 2: Convert to fraction form
   1,016.55/1,524.54 = 853.08/x
3. Step 3: Cross multiply
   1,016.55x = 1,524.54 × 853.08
4. Step 4: Simplify right side
   1,016.55x = 1,300,554.58
5. Step 5: Solve for x
   x = 1,300,554.58/1,016.55
6. Step 6: Final answer
   x = 1,279.38