Finding the Fourth Proportional to 2,084.91, 2,877.17 and 1,298.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.91 : 2,877.17 = 1,298.95 : x
2. Step 2: Convert to fraction form
   2,084.91/2,877.17 = 1,298.95/x
3. Step 3: Cross multiply
   2,084.91x = 2,877.17 × 1,298.95
4. Step 4: Simplify right side
   2,084.91x = 3,737,309.77
5. Step 5: Solve for x
   x = 3,737,309.77/2,084.91
6. Step 6: Final answer
   x = 1,792.56