Finding the Fourth Proportional to 1,062.06, 1,465.71 and 596.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.06 : 1,465.71 = 596.34 : x
2. Step 2: Convert to fraction form
   1,062.06/1,465.71 = 596.34/x
3. Step 3: Cross multiply
   1,062.06x = 1,465.71 × 596.34
4. Step 4: Simplify right side
   1,062.06x = 874,061.50
5. Step 5: Solve for x
   x = 874,061.50/1,062.06
6. Step 6: Final answer
   x = 822.99