Finding the Fourth Proportional to 1,153.72, 1,730.82 and 384.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.72 : 1,730.82 = 384.28 : x
2. Step 2: Convert to fraction form
   1,153.72/1,730.82 = 384.28/x
3. Step 3: Cross multiply
   1,153.72x = 1,730.82 × 384.28
4. Step 4: Simplify right side
   1,153.72x = 665,119.51
5. Step 5: Solve for x
   x = 665,119.51/1,153.72
6. Step 6: Final answer
   x = 576.50