Finding the Fourth Proportional to 2,085.46, 2,878.65 and 1,201.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.46 : 2,878.65 = 1,201.61 : x
2. Step 2: Convert to fraction form
   2,085.46/2,878.65 = 1,201.61/x
3. Step 3: Cross multiply
   2,085.46x = 2,878.65 × 1,201.61
4. Step 4: Simplify right side
   2,085.46x = 3,459,021.82
5. Step 5: Solve for x
   x = 3,459,021.82/2,085.46
6. Step 6: Final answer
   x = 1,658.64