Finding the Fourth Proportional to 1,061.96, 1,465.35 and 596.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.96 : 1,465.35 = 596.12 : x
2. Step 2: Convert to fraction form
   1,061.96/1,465.35 = 596.12/x
3. Step 3: Cross multiply
   1,061.96x = 1,465.35 × 596.12
4. Step 4: Simplify right side
   1,061.96x = 873,524.44
5. Step 5: Solve for x
   x = 873,524.44/1,061.96
6. Step 6: Final answer
   x = 822.56