Finding the Fourth Proportional to 2,085.18, 2,878.59 and 1,200.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.18 : 2,878.59 = 1,200.81 : x
2. Step 2: Convert to fraction form
   2,085.18/2,878.59 = 1,200.81/x
3. Step 3: Cross multiply
   2,085.18x = 2,878.59 × 1,200.81
4. Step 4: Simplify right side
   2,085.18x = 3,456,635.15
5. Step 5: Solve for x
   x = 3,456,635.15/2,085.18
6. Step 6: Final answer
   x = 1,657.72