Finding the Fourth Proportional to 2,084.65, 2,876.94 and 1,200.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.65 : 2,876.94 = 1,200.55 : x
2. Step 2: Convert to fraction form
   2,084.65/2,876.94 = 1,200.55/x
3. Step 3: Cross multiply
   2,084.65x = 2,876.94 × 1,200.55
4. Step 4: Simplify right side
   2,084.65x = 3,453,910.32
5. Step 5: Solve for x
   x = 3,453,910.32/2,084.65
6. Step 6: Final answer
   x = 1,656.83