Finding the Fourth Proportional to 1,064.04, 1,468.50 and 598.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.04 : 1,468.50 = 598.20 : x
2. Step 2: Convert to fraction form
   1,064.04/1,468.50 = 598.20/x
3. Step 3: Cross multiply
   1,064.04x = 1,468.50 × 598.20
4. Step 4: Simplify right side
   1,064.04x = 878,456.70
5. Step 5: Solve for x
   x = 878,456.70/1,064.04
6. Step 6: Final answer
   x = 825.59