Finding the Fourth Proportional to 1,152.47, 1,727.16 and 421.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.47 : 1,727.16 = 421.34 : x
2. Step 2: Convert to fraction form
   1,152.47/1,727.16 = 421.34/x
3. Step 3: Cross multiply
   1,152.47x = 1,727.16 × 421.34
4. Step 4: Simplify right side
   1,152.47x = 727,721.59
5. Step 5: Solve for x
   x = 727,721.59/1,152.47
6. Step 6: Final answer
   x = 631.45