Finding the Fourth Proportional to 1,097.06, 1,513.94 and 599.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.06 : 1,513.94 = 599.69 : x
2. Step 2: Convert to fraction form
   1,097.06/1,513.94 = 599.69/x
3. Step 3: Cross multiply
   1,097.06x = 1,513.94 × 599.69
4. Step 4: Simplify right side
   1,097.06x = 907,884.11
5. Step 5: Solve for x
   x = 907,884.11/1,097.06
6. Step 6: Final answer
   x = 827.56