Finding the Fourth Proportional to 1,099.47, 1,648.05 and 514.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.47 : 1,648.05 = 514.15 : x
2. Step 2: Convert to fraction form
   1,099.47/1,648.05 = 514.15/x
3. Step 3: Cross multiply
   1,099.47x = 1,648.05 × 514.15
4. Step 4: Simplify right side
   1,099.47x = 847,338.86
5. Step 5: Solve for x
   x = 847,338.86/1,099.47
6. Step 6: Final answer
   x = 770.68