Finding the Fourth Proportional to 1,064.25, 1,468.68 and 598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.25 : 1,468.68 = 598.50 : x
2. Step 2: Convert to fraction form
   1,064.25/1,468.68 = 598.50/x
3. Step 3: Cross multiply
   1,064.25x = 1,468.68 × 598.50
4. Step 4: Simplify right side
   1,064.25x = 879,004.98
5. Step 5: Solve for x
   x = 879,004.98/1,064.25
6. Step 6: Final answer
   x = 825.94