Finding the Fourth Proportional to 724.82, 1,086.69 and 377.72

Step by Step Solution

1. Step 1: Write the proportion equation
   724.82 : 1,086.69 = 377.72 : x
2. Step 2: Convert to fraction form
   724.82/1,086.69 = 377.72/x
3. Step 3: Cross multiply
   724.82x = 1,086.69 × 377.72
4. Step 4: Simplify right side
   724.82x = 410,464.55
5. Step 5: Solve for x
   x = 410,464.55/724.82
6. Step 6: Final answer
   x = 566.30