Finding the Fourth Proportional to 1,100.42, 1,518.57 and 596.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.42 : 1,518.57 = 596.27 : x
2. Step 2: Convert to fraction form
   1,100.42/1,518.57 = 596.27/x
3. Step 3: Cross multiply
   1,100.42x = 1,518.57 × 596.27
4. Step 4: Simplify right side
   1,100.42x = 905,474.75
5. Step 5: Solve for x
   x = 905,474.75/1,100.42
6. Step 6: Final answer
   x = 822.84