Finding the Fourth Proportional to 1,152.33, 1,727.47 and 411.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.33 : 1,727.47 = 411.58 : x
2. Step 2: Convert to fraction form
   1,152.33/1,727.47 = 411.58/x
3. Step 3: Cross multiply
   1,152.33x = 1,727.47 × 411.58
4. Step 4: Simplify right side
   1,152.33x = 710,992.10
5. Step 5: Solve for x
   x = 710,992.10/1,152.33
6. Step 6: Final answer
   x = 617.00