Finding the Fourth Proportional to 1,457.71, 2,011.69 and 828.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.71 : 2,011.69 = 828.34 : x
2. Step 2: Convert to fraction form
   1,457.71/2,011.69 = 828.34/x
3. Step 3: Cross multiply
   1,457.71x = 2,011.69 × 828.34
4. Step 4: Simplify right side
   1,457.71x = 1,666,359.97
5. Step 5: Solve for x
   x = 1,666,359.97/1,457.71
6. Step 6: Final answer
   x = 1,143.14