Finding the Fourth Proportional to 1,061.14, 1,464.21 and 595.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.14 : 1,464.21 = 595.30 : x
2. Step 2: Convert to fraction form
   1,061.14/1,464.21 = 595.30/x
3. Step 3: Cross multiply
   1,061.14x = 1,464.21 × 595.30
4. Step 4: Simplify right side
   1,061.14x = 871,644.21
5. Step 5: Solve for x
   x = 871,644.21/1,061.14
6. Step 6: Final answer
   x = 821.42