Finding the Fourth Proportional to 2,084.78, 2,877.08 and 1,200.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.78 : 2,877.08 = 1,200.58 : x
2. Step 2: Convert to fraction form
   2,084.78/2,877.08 = 1,200.58/x
3. Step 3: Cross multiply
   2,084.78x = 2,877.08 × 1,200.58
4. Step 4: Simplify right side
   2,084.78x = 3,454,164.71
5. Step 5: Solve for x
   x = 3,454,164.71/2,084.78
6. Step 6: Final answer
   x = 1,656.85