Finding the Fourth Proportional to 1,096.89, 1,513.74 and 599.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.89 : 1,513.74 = 599.55 : x
2. Step 2: Convert to fraction form
   1,096.89/1,513.74 = 599.55/x
3. Step 3: Cross multiply
   1,096.89x = 1,513.74 × 599.55
4. Step 4: Simplify right side
   1,096.89x = 907,562.82
5. Step 5: Solve for x
   x = 907,562.82/1,096.89
6. Step 6: Final answer
   x = 827.40