Finding the Fourth Proportional to 2,085.80, 3,129.53 and 854.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.80 : 3,129.53 = 854.06 : x
2. Step 2: Convert to fraction form
   2,085.80/3,129.53 = 854.06/x
3. Step 3: Cross multiply
   2,085.80x = 3,129.53 × 854.06
4. Step 4: Simplify right side
   2,085.80x = 2,672,786.47
5. Step 5: Solve for x
   x = 2,672,786.47/2,085.80
6. Step 6: Final answer
   x = 1,281.42