Finding the Fourth Proportional to 1,097.94, 1,647.32 and 513.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.94 : 1,647.32 = 513.27 : x
2. Step 2: Convert to fraction form
   1,097.94/1,647.32 = 513.27/x
3. Step 3: Cross multiply
   1,097.94x = 1,647.32 × 513.27
4. Step 4: Simplify right side
   1,097.94x = 845,519.94
5. Step 5: Solve for x
   x = 845,519.94/1,097.94
6. Step 6: Final answer
   x = 770.10