Finding the Fourth Proportional to 2,178.98, 3,004.19 and 1,780.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.98 : 3,004.19 = 1,780.23 : x
2. Step 2: Convert to fraction form
   2,178.98/3,004.19 = 1,780.23/x
3. Step 3: Cross multiply
   2,178.98x = 3,004.19 × 1,780.23
4. Step 4: Simplify right side
   2,178.98x = 5,348,141.31
5. Step 5: Solve for x
   x = 5,348,141.31/2,178.98
6. Step 6: Final answer
   x = 2,454.42