Finding the Fourth Proportional to 1,338.15, 1,846.58 and 778.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.15 : 1,846.58 = 778.59 : x
2. Step 2: Convert to fraction form
   1,338.15/1,846.58 = 778.59/x
3. Step 3: Cross multiply
   1,338.15x = 1,846.58 × 778.59
4. Step 4: Simplify right side
   1,338.15x = 1,437,728.72
5. Step 5: Solve for x
   x = 1,437,728.72/1,338.15
6. Step 6: Final answer
   x = 1,074.42