Finding the Fourth Proportional to 1,778.72, 2,454.56 and 1,255.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.72 : 2,454.56 = 1,255.46 : x
2. Step 2: Convert to fraction form
   1,778.72/2,454.56 = 1,255.46/x
3. Step 3: Cross multiply
   1,778.72x = 2,454.56 × 1,255.46
4. Step 4: Simplify right side
   1,778.72x = 3,081,601.90
5. Step 5: Solve for x
   x = 3,081,601.90/1,778.72
6. Step 6: Final answer
   x = 1,732.48