Finding the Fourth Proportional to 1,337.55, 1,846.06 and 778.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.55 : 1,846.06 = 778.20 : x
2. Step 2: Convert to fraction form
   1,337.55/1,846.06 = 778.20/x
3. Step 3: Cross multiply
   1,337.55x = 1,846.06 × 778.20
4. Step 4: Simplify right side
   1,337.55x = 1,436,603.89
5. Step 5: Solve for x
   x = 1,436,603.89/1,337.55
6. Step 6: Final answer
   x = 1,074.06