Finding the Fourth Proportional to 2,085.95, 2,878.61 and 1,201.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.95 : 2,878.61 = 1,201.74 : x
2. Step 2: Convert to fraction form
   2,085.95/2,878.61 = 1,201.74/x
3. Step 3: Cross multiply
   2,085.95x = 2,878.61 × 1,201.74
4. Step 4: Simplify right side
   2,085.95x = 3,459,334.77
5. Step 5: Solve for x
   x = 3,459,334.77/2,085.95
6. Step 6: Final answer
   x = 1,658.40