Finding the Fourth Proportional to 2,084.83, 2,877.31 and 1,200.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.83 : 2,877.31 = 1,200.80 : x
2. Step 2: Convert to fraction form
   2,084.83/2,877.31 = 1,200.80/x
3. Step 3: Cross multiply
   2,084.83x = 2,877.31 × 1,200.80
4. Step 4: Simplify right side
   2,084.83x = 3,455,073.85
5. Step 5: Solve for x
   x = 3,455,073.85/2,084.83
6. Step 6: Final answer
   x = 1,657.24