Finding the Fourth Proportional to 1,061.89, 1,465.47 and 596.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.89 : 1,465.47 = 596.14 : x
2. Step 2: Convert to fraction form
   1,061.89/1,465.47 = 596.14/x
3. Step 3: Cross multiply
   1,061.89x = 1,465.47 × 596.14
4. Step 4: Simplify right side
   1,061.89x = 873,621.62
5. Step 5: Solve for x
   x = 873,621.62/1,061.89
6. Step 6: Final answer
   x = 822.71