Finding the Fourth Proportional to 1,099.82, 1,648.58 and 514.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.82 : 1,648.58 = 514.52 : x
2. Step 2: Convert to fraction form
   1,099.82/1,648.58 = 514.52/x
3. Step 3: Cross multiply
   1,099.82x = 1,648.58 × 514.52
4. Step 4: Simplify right side
   1,099.82x = 848,227.38
5. Step 5: Solve for x
   x = 848,227.38/1,099.82
6. Step 6: Final answer
   x = 771.24