Finding the Fourth Proportional to 2,552.80, 3,830.34 and 1,092.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.80 : 3,830.34 = 1,092.28 : x
2. Step 2: Convert to fraction form
   2,552.80/3,830.34 = 1,092.28/x
3. Step 3: Cross multiply
   2,552.80x = 3,830.34 × 1,092.28
4. Step 4: Simplify right side
   2,552.80x = 4,183,803.78
5. Step 5: Solve for x
   x = 4,183,803.78/2,552.80
6. Step 6: Final answer
   x = 1,638.91