Finding the Fourth Proportional to 1,603.50, 2,401.38 and 779.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.50 : 2,401.38 = 779.73 : x
2. Step 2: Convert to fraction form
   1,603.50/2,401.38 = 779.73/x
3. Step 3: Cross multiply
   1,603.50x = 2,401.38 × 779.73
4. Step 4: Simplify right side
   1,603.50x = 1,872,428.03
5. Step 5: Solve for x
   x = 1,872,428.03/1,603.50
6. Step 6: Final answer
   x = 1,167.71