Finding the Fourth Proportional to 1,384.84, 2,077.27 and 411.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.84 : 2,077.27 = 411.02 : x
2. Step 2: Convert to fraction form
   1,384.84/2,077.27 = 411.02/x
3. Step 3: Cross multiply
   1,384.84x = 2,077.27 × 411.02
4. Step 4: Simplify right side
   1,384.84x = 853,795.89
5. Step 5: Solve for x
   x = 853,795.89/1,384.84
6. Step 6: Final answer
   x = 616.53