Finding the Fourth Proportional to 1,457.41, 2,011.25 and 827.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.41 : 2,011.25 = 827.89 : x
2. Step 2: Convert to fraction form
   1,457.41/2,011.25 = 827.89/x
3. Step 3: Cross multiply
   1,457.41x = 2,011.25 × 827.89
4. Step 4: Simplify right side
   1,457.41x = 1,665,093.76
5. Step 5: Solve for x
   x = 1,665,093.76/1,457.41
6. Step 6: Final answer
   x = 1,142.50