Finding the Fourth Proportional to 1,491.56, 2,058.34 and 828.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.56 : 2,058.34 = 828.42 : x
2. Step 2: Convert to fraction form
   1,491.56/2,058.34 = 828.42/x
3. Step 3: Cross multiply
   1,491.56x = 2,058.34 × 828.42
4. Step 4: Simplify right side
   1,491.56x = 1,705,170.02
5. Step 5: Solve for x
   x = 1,705,170.02/1,491.56
6. Step 6: Final answer
   x = 1,143.21