Finding the Fourth Proportional to 1,064.89, 1,469.37 and 592.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.89 : 1,469.37 = 592.78 : x
2. Step 2: Convert to fraction form
   1,064.89/1,469.37 = 592.78/x
3. Step 3: Cross multiply
   1,064.89x = 1,469.37 × 592.78
4. Step 4: Simplify right side
   1,064.89x = 871,013.15
5. Step 5: Solve for x
   x = 871,013.15/1,064.89
6. Step 6: Final answer
   x = 817.94