Finding the Fourth Proportional to 2,084.40, 2,875.87 and 1,200.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.40 : 2,875.87 = 1,200.05 : x
2. Step 2: Convert to fraction form
   2,084.40/2,875.87 = 1,200.05/x
3. Step 3: Cross multiply
   2,084.40x = 2,875.87 × 1,200.05
4. Step 4: Simplify right side
   2,084.40x = 3,451,185.70
5. Step 5: Solve for x
   x = 3,451,185.70/2,084.40
6. Step 6: Final answer
   x = 1,655.72