Finding the Fourth Proportional to 1,061.55, 1,464.75 and 595.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.55 : 1,464.75 = 595.80 : x
2. Step 2: Convert to fraction form
   1,061.55/1,464.75 = 595.80/x
3. Step 3: Cross multiply
   1,061.55x = 1,464.75 × 595.80
4. Step 4: Simplify right side
   1,061.55x = 872,698.05
5. Step 5: Solve for x
   x = 872,698.05/1,061.55
6. Step 6: Final answer
   x = 822.10