Finding the Fourth Proportional to 1,457.88, 2,011.89 and 828.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.88 : 2,011.89 = 828.41 : x
2. Step 2: Convert to fraction form
   1,457.88/2,011.89 = 828.41/x
3. Step 3: Cross multiply
   1,457.88x = 2,011.89 × 828.41
4. Step 4: Simplify right side
   1,457.88x = 1,666,665.65
5. Step 5: Solve for x
   x = 1,666,665.65/1,457.88
6. Step 6: Final answer
   x = 1,143.21