Finding the Fourth Proportional to 1,098.52, 1,648.32 and 513.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.52 : 1,648.32 = 513.56 : x
2. Step 2: Convert to fraction form
   1,098.52/1,648.32 = 513.56/x
3. Step 3: Cross multiply
   1,098.52x = 1,648.32 × 513.56
4. Step 4: Simplify right side
   1,098.52x = 846,512.25
5. Step 5: Solve for x
   x = 846,512.25/1,098.52
6. Step 6: Final answer
   x = 770.59