Finding the Fourth Proportional to 813.82, 1,123.06 and 464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   813.82 : 1,123.06 = 464.50 : x
2. Step 2: Convert to fraction form
   813.82/1,123.06 = 464.50/x
3. Step 3: Cross multiply
   813.82x = 1,123.06 × 464.50
4. Step 4: Simplify right side
   813.82x = 521,661.37
5. Step 5: Solve for x
   x = 521,661.37/813.82
6. Step 6: Final answer
   x = 641.00