Finding the Fourth Proportional to 2,384.49, 3,577.72 and 1,049.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.49 : 3,577.72 = 1,049.60 : x
2. Step 2: Convert to fraction form
   2,384.49/3,577.72 = 1,049.60/x
3. Step 3: Cross multiply
   2,384.49x = 3,577.72 × 1,049.60
4. Step 4: Simplify right side
   2,384.49x = 3,755,174.91
5. Step 5: Solve for x
   x = 3,755,174.91/2,384.49
6. Step 6: Final answer
   x = 1,574.83