Finding the Fourth Proportional to 1,061.81, 1,465.31 and 596.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.81 : 1,465.31 = 596.09 : x
2. Step 2: Convert to fraction form
   1,061.81/1,465.31 = 596.09/x
3. Step 3: Cross multiply
   1,061.81x = 1,465.31 × 596.09
4. Step 4: Simplify right side
   1,061.81x = 873,456.64
5. Step 5: Solve for x
   x = 873,456.64/1,061.81
6. Step 6: Final answer
   x = 822.61