Finding the Fourth Proportional to 1,152.62, 1,727.41 and 421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.62 : 1,727.41 = 421.50 : x
2. Step 2: Convert to fraction form
   1,152.62/1,727.41 = 421.50/x
3. Step 3: Cross multiply
   1,152.62x = 1,727.41 × 421.50
4. Step 4: Simplify right side
   1,152.62x = 728,103.32
5. Step 5: Solve for x
   x = 728,103.32/1,152.62
6. Step 6: Final answer
   x = 631.69