Finding the Fourth Proportional to 1,105.69, 1,658.49 and 520.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.69 : 1,658.49 = 520.48 : x
2. Step 2: Convert to fraction form
   1,105.69/1,658.49 = 520.48/x
3. Step 3: Cross multiply
   1,105.69x = 1,658.49 × 520.48
4. Step 4: Simplify right side
   1,105.69x = 863,210.88
5. Step 5: Solve for x
   x = 863,210.88/1,105.69
6. Step 6: Final answer
   x = 780.70