Finding the Fourth Proportional to 1,064.38, 1,468.98 and 598.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.38 : 1,468.98 = 598.63 : x
2. Step 2: Convert to fraction form
   1,064.38/1,468.98 = 598.63/x
3. Step 3: Cross multiply
   1,064.38x = 1,468.98 × 598.63
4. Step 4: Simplify right side
   1,064.38x = 879,375.50
5. Step 5: Solve for x
   x = 879,375.50/1,064.38
6. Step 6: Final answer
   x = 826.19