Finding the Fourth Proportional to 1,457.69, 2,011.26 and 828.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.69 : 2,011.26 = 828.07 : x
2. Step 2: Convert to fraction form
   1,457.69/2,011.26 = 828.07/x
3. Step 3: Cross multiply
   1,457.69x = 2,011.26 × 828.07
4. Step 4: Simplify right side
   1,457.69x = 1,665,462.15
5. Step 5: Solve for x
   x = 1,665,462.15/1,457.69
6. Step 6: Final answer
   x = 1,142.54