Finding the Fourth Proportional to 2,084.42, 2,876.81 and 1,200.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.42 : 2,876.81 = 1,200.22 : x
2. Step 2: Convert to fraction form
   2,084.42/2,876.81 = 1,200.22/x
3. Step 3: Cross multiply
   2,084.42x = 2,876.81 × 1,200.22
4. Step 4: Simplify right side
   2,084.42x = 3,452,791.71
5. Step 5: Solve for x
   x = 3,452,791.71/2,084.42
6. Step 6: Final answer
   x = 1,656.47