Finding the Fourth Proportional to 1,778.37, 2,452.86 and 1,188.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.37 : 2,452.86 = 1,188.78 : x
2. Step 2: Convert to fraction form
   1,778.37/2,452.86 = 1,188.78/x
3. Step 3: Cross multiply
   1,778.37x = 2,452.86 × 1,188.78
4. Step 4: Simplify right side
   1,778.37x = 2,915,910.91
5. Step 5: Solve for x
   x = 2,915,910.91/1,778.37
6. Step 6: Final answer
   x = 1,639.65