Finding the Fourth Proportional to 1,300.85, 1,949.31 and 520.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.85 : 1,949.31 = 520.08 : x
2. Step 2: Convert to fraction form
   1,300.85/1,949.31 = 520.08/x
3. Step 3: Cross multiply
   1,300.85x = 1,949.31 × 520.08
4. Step 4: Simplify right side
   1,300.85x = 1,013,797.14
5. Step 5: Solve for x
   x = 1,013,797.14/1,300.85
6. Step 6: Final answer
   x = 779.33