Finding the Fourth Proportional to 1,061.80, 1,465.23 and 596.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.80 : 1,465.23 = 596.05 : x
2. Step 2: Convert to fraction form
   1,061.80/1,465.23 = 596.05/x
3. Step 3: Cross multiply
   1,061.80x = 1,465.23 × 596.05
4. Step 4: Simplify right side
   1,061.80x = 873,350.34
5. Step 5: Solve for x
   x = 873,350.34/1,061.80
6. Step 6: Final answer
   x = 822.52