Finding the Fourth Proportional to 2,086.16, 2,878.56 and 1,201.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.16 : 2,878.56 = 1,201.92 : x
2. Step 2: Convert to fraction form
   2,086.16/2,878.56 = 1,201.92/x
3. Step 3: Cross multiply
   2,086.16x = 2,878.56 × 1,201.92
4. Step 4: Simplify right side
   2,086.16x = 3,459,798.84
5. Step 5: Solve for x
   x = 3,459,798.84/2,086.16
6. Step 6: Final answer
   x = 1,658.45