Finding the Fourth Proportional to 1,602.39, 2,401.86 and 778.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.39 : 2,401.86 = 778.83 : x
2. Step 2: Convert to fraction form
   1,602.39/2,401.86 = 778.83/x
3. Step 3: Cross multiply
   1,602.39x = 2,401.86 × 778.83
4. Step 4: Simplify right side
   1,602.39x = 1,870,640.62
5. Step 5: Solve for x
   x = 1,870,640.62/1,602.39
6. Step 6: Final answer
   x = 1,167.41