Finding the Fourth Proportional to 2,084.81, 2,877.38 and 1,200.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.81 : 2,877.38 = 1,200.47 : x
2. Step 2: Convert to fraction form
   2,084.81/2,877.38 = 1,200.47/x
3. Step 3: Cross multiply
   2,084.81x = 2,877.38 × 1,200.47
4. Step 4: Simplify right side
   2,084.81x = 3,454,196.98
5. Step 5: Solve for x
   x = 3,454,196.98/2,084.81
6. Step 6: Final answer
   x = 1,656.84