Finding the Fourth Proportional to 1,061.82, 1,465.29 and 596.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.82 : 1,465.29 = 596.07 : x
2. Step 2: Convert to fraction form
   1,061.82/1,465.29 = 596.07/x
3. Step 3: Cross multiply
   1,061.82x = 1,465.29 × 596.07
4. Step 4: Simplify right side
   1,061.82x = 873,415.41
5. Step 5: Solve for x
   x = 873,415.41/1,061.82
6. Step 6: Final answer
   x = 822.56