Finding the Fourth Proportional to 2,057.16, 2,838.71 and 1,172.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.16 : 2,838.71 = 1,172.80 : x
2. Step 2: Convert to fraction form
   2,057.16/2,838.71 = 1,172.80/x
3. Step 3: Cross multiply
   2,057.16x = 2,838.71 × 1,172.80
4. Step 4: Simplify right side
   2,057.16x = 3,329,234.92
5. Step 5: Solve for x
   x = 3,329,234.92/2,057.16
6. Step 6: Final answer
   x = 1,618.36