Finding the Fourth Proportional to 830.82, 1,146.56 and 457.83

Step by Step Solution

1. Step 1: Write the proportion equation
   830.82 : 1,146.56 = 457.83 : x
2. Step 2: Convert to fraction form
   830.82/1,146.56 = 457.83/x
3. Step 3: Cross multiply
   830.82x = 1,146.56 × 457.83
4. Step 4: Simplify right side
   830.82x = 524,929.56
5. Step 5: Solve for x
   x = 524,929.56/830.82
6. Step 6: Final answer
   x = 631.82