Finding the Fourth Proportional to 2,564.82, 3,833.17 and 1,872.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.82 : 3,833.17 = 1,872.95 : x
2. Step 2: Convert to fraction form
   2,564.82/3,833.17 = 1,872.95/x
3. Step 3: Cross multiply
   2,564.82x = 3,833.17 × 1,872.95
4. Step 4: Simplify right side
   2,564.82x = 7,179,311.90
5. Step 5: Solve for x
   x = 7,179,311.90/2,564.82
6. Step 6: Final answer
   x = 2,799.15