Finding the Fourth Proportional to 2,077.78, 3,114.24 and 1,153.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.78 : 3,114.24 = 1,153.12 : x
2. Step 2: Convert to fraction form
   2,077.78/3,114.24 = 1,153.12/x
3. Step 3: Cross multiply
   2,077.78x = 3,114.24 × 1,153.12
4. Step 4: Simplify right side
   2,077.78x = 3,591,092.43
5. Step 5: Solve for x
   x = 3,591,092.43/2,077.78
6. Step 6: Final answer
   x = 1,728.33