Finding the Fourth Proportional to 1,100.29, 1,518.40 and 596.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.29 : 1,518.40 = 596.15 : x
2. Step 2: Convert to fraction form
   1,100.29/1,518.40 = 596.15/x
3. Step 3: Cross multiply
   1,100.29x = 1,518.40 × 596.15
4. Step 4: Simplify right side
   1,100.29x = 905,194.16
5. Step 5: Solve for x
   x = 905,194.16/1,100.29
6. Step 6: Final answer
   x = 822.69