Finding the Fourth Proportional to 1,457.30, 2,011.29 and 827.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.30 : 2,011.29 = 827.89 : x
2. Step 2: Convert to fraction form
   1,457.30/2,011.29 = 827.89/x
3. Step 3: Cross multiply
   1,457.30x = 2,011.29 × 827.89
4. Step 4: Simplify right side
   1,457.30x = 1,665,126.88
5. Step 5: Solve for x
   x = 1,665,126.88/1,457.30
6. Step 6: Final answer
   x = 1,142.61