Finding the Fourth Proportional to 2,105.48, 3,151.54 and 1,178.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.48 : 3,151.54 = 1,178.23 : x
2. Step 2: Convert to fraction form
   2,105.48/3,151.54 = 1,178.23/x
3. Step 3: Cross multiply
   2,105.48x = 3,151.54 × 1,178.23
4. Step 4: Simplify right side
   2,105.48x = 3,713,238.97
5. Step 5: Solve for x
   x = 3,713,238.97/2,105.48
6. Step 6: Final answer
   x = 1,763.61