Finding the Fourth Proportional to 1,337.75, 1,846.16 and 778.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.75 : 1,846.16 = 778.23 : x
2. Step 2: Convert to fraction form
   1,337.75/1,846.16 = 778.23/x
3. Step 3: Cross multiply
   1,337.75x = 1,846.16 × 778.23
4. Step 4: Simplify right side
   1,337.75x = 1,436,729.81
5. Step 5: Solve for x
   x = 1,436,729.81/1,337.75
6. Step 6: Final answer
   x = 1,073.99