Finding the Fourth Proportional to 2,084.49, 2,876.60 and 1,200.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.49 : 2,876.60 = 1,200.24 : x
2. Step 2: Convert to fraction form
   2,084.49/2,876.60 = 1,200.24/x
3. Step 3: Cross multiply
   2,084.49x = 2,876.60 × 1,200.24
4. Step 4: Simplify right side
   2,084.49x = 3,452,613.38
5. Step 5: Solve for x
   x = 3,452,613.38/2,084.49
6. Step 6: Final answer
   x = 1,656.33