Finding the Fourth Proportional to 1,294.98, 1,949.54 and 1,180.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.98 : 1,949.54 = 1,180.17 : x
2. Step 2: Convert to fraction form
   1,294.98/1,949.54 = 1,180.17/x
3. Step 3: Cross multiply
   1,294.98x = 1,949.54 × 1,180.17
4. Step 4: Simplify right side
   1,294.98x = 2,300,782.72
5. Step 5: Solve for x
   x = 2,300,782.72/1,294.98
6. Step 6: Final answer
   x = 1,776.69