Finding the Fourth Proportional to 1,064.41, 1,468.89 and 598.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.41 : 1,468.89 = 598.63 : x
2. Step 2: Convert to fraction form
   1,064.41/1,468.89 = 598.63/x
3. Step 3: Cross multiply
   1,064.41x = 1,468.89 × 598.63
4. Step 4: Simplify right side
   1,064.41x = 879,321.62
5. Step 5: Solve for x
   x = 879,321.62/1,064.41
6. Step 6: Final answer
   x = 826.11