Finding the Fourth Proportional to 2,084.77, 2,896.28 and 2,065.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.77 : 2,896.28 = 2,065.74 : x
2. Step 2: Convert to fraction form
   2,084.77/2,896.28 = 2,065.74/x
3. Step 3: Cross multiply
   2,084.77x = 2,896.28 × 2,065.74
4. Step 4: Simplify right side
   2,084.77x = 5,982,961.45
5. Step 5: Solve for x
   x = 5,982,961.45/2,084.77
6. Step 6: Final answer
   x = 2,869.84