Finding the Fourth Proportional to 1,778.89, 2,456.50 and 1,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.89 : 2,456.50 = 1,150.50 : x
2. Step 2: Convert to fraction form
   1,778.89/2,456.50 = 1,150.50/x
3. Step 3: Cross multiply
   1,778.89x = 2,456.50 × 1,150.50
4. Step 4: Simplify right side
   1,778.89x = 2,826,214.98
5. Step 5: Solve for x
   x = 2,826,214.98/1,778.89
6. Step 6: Final answer
   x = 1,588.76