Finding the Fourth Proportional to 2,738.98, 4,109.35 and 1,178.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.98 : 4,109.35 = 1,178.18 : x
2. Step 2: Convert to fraction form
   2,738.98/4,109.35 = 1,178.18/x
3. Step 3: Cross multiply
   2,738.98x = 4,109.35 × 1,178.18
4. Step 4: Simplify right side
   2,738.98x = 4,841,553.98
5. Step 5: Solve for x
   x = 4,841,553.98/2,738.98
6. Step 6: Final answer
   x = 1,767.65