Finding the Fourth Proportional to 1,077.49, 1,616.27 and 384.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.49 : 1,616.27 = 384.27 : x
2. Step 2: Convert to fraction form
   1,077.49/1,616.27 = 384.27/x
3. Step 3: Cross multiply
   1,077.49x = 1,616.27 × 384.27
4. Step 4: Simplify right side
   1,077.49x = 621,084.07
5. Step 5: Solve for x
   x = 621,084.07/1,077.49
6. Step 6: Final answer
   x = 576.42