Finding the Fourth Proportional to 1,064.55, 1,468.89 and 598.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.55 : 1,468.89 = 598.80 : x
2. Step 2: Convert to fraction form
   1,064.55/1,468.89 = 598.80/x
3. Step 3: Cross multiply
   1,064.55x = 1,468.89 × 598.80
4. Step 4: Simplify right side
   1,064.55x = 879,571.33
5. Step 5: Solve for x
   x = 879,571.33/1,064.55
6. Step 6: Final answer
   x = 826.24