Finding the Fourth Proportional to 1,338.02, 1,846.86 and 778.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.02 : 1,846.86 = 778.62 : x
2. Step 2: Convert to fraction form
   1,338.02/1,846.86 = 778.62/x
3. Step 3: Cross multiply
   1,338.02x = 1,846.86 × 778.62
4. Step 4: Simplify right side
   1,338.02x = 1,438,002.13
5. Step 5: Solve for x
   x = 1,438,002.13/1,338.02
6. Step 6: Final answer
   x = 1,074.72