Finding the Fourth Proportional to 1,151.69, 1,727.33 and 421.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.69 : 1,727.33 = 421.47 : x
2. Step 2: Convert to fraction form
   1,151.69/1,727.33 = 421.47/x
3. Step 3: Cross multiply
   1,151.69x = 1,727.33 × 421.47
4. Step 4: Simplify right side
   1,151.69x = 728,015.67
5. Step 5: Solve for x
   x = 728,015.67/1,151.69
6. Step 6: Final answer
   x = 632.13