Finding the Fourth Proportional to 1,337.90, 1,846.41 and 778.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.90 : 1,846.41 = 778.55 : x
2. Step 2: Convert to fraction form
   1,337.90/1,846.41 = 778.55/x
3. Step 3: Cross multiply
   1,337.90x = 1,846.41 × 778.55
4. Step 4: Simplify right side
   1,337.90x = 1,437,513.27
5. Step 5: Solve for x
   x = 1,437,513.27/1,337.90
6. Step 6: Final answer
   x = 1,074.46