Finding the Fourth Proportional to 1,064.56, 1,469.10 and 598.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.56 : 1,469.10 = 598.82 : x
2. Step 2: Convert to fraction form
   1,064.56/1,469.10 = 598.82/x
3. Step 3: Cross multiply
   1,064.56x = 1,469.10 × 598.82
4. Step 4: Simplify right side
   1,064.56x = 879,726.46
5. Step 5: Solve for x
   x = 879,726.46/1,064.56
6. Step 6: Final answer
   x = 826.38