Finding the Fourth Proportional to 1,384.89, 2,077.33 and 1,077.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.89 : 2,077.33 = 1,077.49 : x
2. Step 2: Convert to fraction form
   1,384.89/2,077.33 = 1,077.49/x
3. Step 3: Cross multiply
   1,384.89x = 2,077.33 × 1,077.49
4. Step 4: Simplify right side
   1,384.89x = 2,238,302.30
5. Step 5: Solve for x
   x = 2,238,302.30/1,384.89
6. Step 6: Final answer
   x = 1,616.23