Finding the Fourth Proportional to 933.82, 1,400.71 and 420.82

Step by Step Solution

1. Step 1: Write the proportion equation
   933.82 : 1,400.71 = 420.82 : x
2. Step 2: Convert to fraction form
   933.82/1,400.71 = 420.82/x
3. Step 3: Cross multiply
   933.82x = 1,400.71 × 420.82
4. Step 4: Simplify right side
   933.82x = 589,446.78
5. Step 5: Solve for x
   x = 589,446.78/933.82
6. Step 6: Final answer
   x = 631.22