Finding the Fourth Proportional to 2,085.90, 2,878.86 and 1,201.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.90 : 2,878.86 = 1,201.74 : x
2. Step 2: Convert to fraction form
   2,085.90/2,878.86 = 1,201.74/x
3. Step 3: Cross multiply
   2,085.90x = 2,878.86 × 1,201.74
4. Step 4: Simplify right side
   2,085.90x = 3,459,641.22
5. Step 5: Solve for x
   x = 3,459,641.22/2,085.90
6. Step 6: Final answer
   x = 1,658.58