Finding the Fourth Proportional to 2,509.37, 3,765.34 and 1,194.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.37 : 3,765.34 = 1,194.61 : x
2. Step 2: Convert to fraction form
   2,509.37/3,765.34 = 1,194.61/x
3. Step 3: Cross multiply
   2,509.37x = 3,765.34 × 1,194.61
4. Step 4: Simplify right side
   2,509.37x = 4,498,112.82
5. Step 5: Solve for x
   x = 4,498,112.82/2,509.37
6. Step 6: Final answer
   x = 1,792.53