Finding the Fourth Proportional to 2,359.20, 3,255.78 and 1,415.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.20 : 3,255.78 = 1,415.15 : x
2. Step 2: Convert to fraction form
   2,359.20/3,255.78 = 1,415.15/x
3. Step 3: Cross multiply
   2,359.20x = 3,255.78 × 1,415.15
4. Step 4: Simplify right side
   2,359.20x = 4,607,400.79
5. Step 5: Solve for x
   x = 4,607,400.79/2,359.20
6. Step 6: Final answer
   x = 1,952.95