Finding the Fourth Proportional to 1,599.58, 2,399.69 and 778.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,599.58 : 2,399.69 = 778.42 : x
2. Step 2: Convert to fraction form
   1,599.58/2,399.69 = 778.42/x
3. Step 3: Cross multiply
   1,599.58x = 2,399.69 × 778.42
4. Step 4: Simplify right side
   1,599.58x = 1,867,966.69
5. Step 5: Solve for x
   x = 1,867,966.69/1,599.58
6. Step 6: Final answer
   x = 1,167.79