Finding the Fourth Proportional to 1,061.50, 1,464.94 and 595.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.50 : 1,464.94 = 595.75 : x
2. Step 2: Convert to fraction form
   1,061.50/1,464.94 = 595.75/x
3. Step 3: Cross multiply
   1,061.50x = 1,464.94 × 595.75
4. Step 4: Simplify right side
   1,061.50x = 872,738.01
5. Step 5: Solve for x
   x = 872,738.01/1,061.50
6. Step 6: Final answer
   x = 822.17