Finding the Fourth Proportional to 1,061.38, 1,464.78 and 595.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.38 : 1,464.78 = 595.66 : x
2. Step 2: Convert to fraction form
   1,061.38/1,464.78 = 595.66/x
3. Step 3: Cross multiply
   1,061.38x = 1,464.78 × 595.66
4. Step 4: Simplify right side
   1,061.38x = 872,510.85
5. Step 5: Solve for x
   x = 872,510.85/1,061.38
6. Step 6: Final answer
   x = 822.05