Finding the Fourth Proportional to 1,457.55, 2,011.50 and 828.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.55 : 2,011.50 = 828.09 : x
2. Step 2: Convert to fraction form
   1,457.55/2,011.50 = 828.09/x
3. Step 3: Cross multiply
   1,457.55x = 2,011.50 × 828.09
4. Step 4: Simplify right side
   1,457.55x = 1,665,703.04
5. Step 5: Solve for x
   x = 1,665,703.04/1,457.55
6. Step 6: Final answer
   x = 1,142.81