Finding the Fourth Proportional to 1,064.29, 1,596.89 and 577.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.29 : 1,596.89 = 577.69 : x
2. Step 2: Convert to fraction form
   1,064.29/1,596.89 = 577.69/x
3. Step 3: Cross multiply
   1,064.29x = 1,596.89 × 577.69
4. Step 4: Simplify right side
   1,064.29x = 922,507.38
5. Step 5: Solve for x
   x = 922,507.38/1,064.29
6. Step 6: Final answer
   x = 866.78