Finding the Fourth Proportional to 1,061.14, 1,464.31 and 595.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.14 : 1,464.31 = 595.38 : x
2. Step 2: Convert to fraction form
   1,061.14/1,464.31 = 595.38/x
3. Step 3: Cross multiply
   1,061.14x = 1,464.31 × 595.38
4. Step 4: Simplify right side
   1,061.14x = 871,820.89
5. Step 5: Solve for x
   x = 871,820.89/1,061.14
6. Step 6: Final answer
   x = 821.59