Finding the Fourth Proportional to 1,064.28, 1,468.86 and 598.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.28 : 1,468.86 = 598.54 : x
2. Step 2: Convert to fraction form
   1,064.28/1,468.86 = 598.54/x
3. Step 3: Cross multiply
   1,064.28x = 1,468.86 × 598.54
4. Step 4: Simplify right side
   1,064.28x = 879,171.46
5. Step 5: Solve for x
   x = 879,171.46/1,064.28
6. Step 6: Final answer
   x = 826.07