Finding the Fourth Proportional to 2,084.94, 2,877.78 and 1,298.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.94 : 2,877.78 = 1,298.52 : x
2. Step 2: Convert to fraction form
   2,084.94/2,877.78 = 1,298.52/x
3. Step 3: Cross multiply
   2,084.94x = 2,877.78 × 1,298.52
4. Step 4: Simplify right side
   2,084.94x = 3,736,854.89
5. Step 5: Solve for x
   x = 3,736,854.89/2,084.94
6. Step 6: Final answer
   x = 1,792.31