Finding the Fourth Proportional to 1,152.74, 1,728.49 and 412.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.74 : 1,728.49 = 412.06 : x
2. Step 2: Convert to fraction form
   1,152.74/1,728.49 = 412.06/x
3. Step 3: Cross multiply
   1,152.74x = 1,728.49 × 412.06
4. Step 4: Simplify right side
   1,152.74x = 712,230.89
5. Step 5: Solve for x
   x = 712,230.89/1,152.74
6. Step 6: Final answer
   x = 617.86