Finding the Fourth Proportional to 1,337.72, 1,846.20 and 778.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.72 : 1,846.20 = 778.24 : x
2. Step 2: Convert to fraction form
   1,337.72/1,846.20 = 778.24/x
3. Step 3: Cross multiply
   1,337.72x = 1,846.20 × 778.24
4. Step 4: Simplify right side
   1,337.72x = 1,436,786.69
5. Step 5: Solve for x
   x = 1,436,786.69/1,337.72
6. Step 6: Final answer
   x = 1,074.06